diff --git a/CHANGELOG.md b/CHANGELOG.md
index f50ca289d9af..2e88fb52389d 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -15,6 +15,7 @@
 
 - `[jest-jasmine2]` Convert `PCancelable` to TypeScript ([#10215](https://github.com/facebook/jest/pull/10215))
 - `[jest-jasmine2]` Refine typings of `queueRunner` ([#10215](https://github.com/facebook/jest/pull/10215))
+- `[jest-jasmine2]` Remove usage of `Function` type ([#10216](https://github.com/facebook/jest/pull/10216))
 - `[jest-resolve]` Improve types ([#10239](https://github.com/facebook/jest/pull/10239))
 
 ### Performance
diff --git a/packages/jest-jasmine2/src/jasmine/Env.ts b/packages/jest-jasmine2/src/jasmine/Env.ts
index cc2acc3eee6a..92c7e1e4cdee 100644
--- a/packages/jest-jasmine2/src/jasmine/Env.ts
+++ b/packages/jest-jasmine2/src/jasmine/Env.ts
@@ -41,7 +41,13 @@ import queueRunner, {
 import treeProcessor, {TreeNode} from '../treeProcessor';
 import isError from '../isError';
 import assertionErrorMessage from '../assertionErrorMessage';
-import type {AssertionErrorWithStack, Jasmine, Reporter, Spy} from '../types';
+import type {
+  AssertionErrorWithStack,
+  Jasmine,
+  Reporter,
+  SpecDefinitionsFn,
+  Spy,
+} from '../types';
 import type {default as Spec, SpecResult} from './Spec';
 import type Suite from './Suite';
 
@@ -64,7 +70,10 @@ export default function (j$: Jasmine) {
       runnablesToRun?: Array<string>,
       suiteTree?: Suite,
     ) => Promise<void>;
-    fdescribe: (description: string, specDefinitions: Function) => Suite;
+    fdescribe: (
+      description: string,
+      specDefinitions: SpecDefinitionsFn,
+    ) => Suite;
     spyOn: (
       obj: Record<string, Spy>,
       methodName: string,
@@ -78,15 +87,21 @@ export default function (j$: Jasmine) {
     clearReporters: () => void;
     addReporter: (reporterToAdd: Reporter) => void;
     it: (description: string, fn: QueueableFn['fn'], timeout?: number) => Spec;
-    xdescribe: (description: string, specDefinitions: Function) => Suite;
+    xdescribe: (
+      description: string,
+      specDefinitions: SpecDefinitionsFn,
+    ) => Suite;
     xit: (description: string, fn: QueueableFn['fn'], timeout?: number) => Spec;
     beforeAll: (beforeAllFunction: QueueableFn['fn'], timeout?: number) => void;
     todo: () => Spec;
     provideFallbackReporter: (reporterToAdd: Reporter) => void;
     allowRespy: (allow: boolean) => void;
-    describe: (description: string, specDefinitions: Function) => Suite;
+    describe: (
+      description: string,
+      specDefinitions: SpecDefinitionsFn,
+    ) => Suite;
 
-    constructor(_options?: object) {
+    constructor(_options?: Record<string, unknown>) {
       let totalSpecsDefined = 0;
 
       let catchExceptions = true;
@@ -411,13 +426,16 @@ export default function (j$: Jasmine) {
         return suite;
       };
 
-      const addSpecsToSuite = (suite: Suite, specDefinitions: Function) => {
+      const addSpecsToSuite = (
+        suite: Suite,
+        specDefinitions: SpecDefinitionsFn,
+      ) => {
         const parentSuite = currentDeclarationSuite;
         parentSuite.addChild(suite);
         currentDeclarationSuite = suite;
 
         let declarationError: undefined | Error = undefined;
-        let describeReturnValue: undefined | Error = undefined;
+        let describeReturnValue: unknown | Error;
         try {
           describeReturnValue = specDefinitions.call(suite);
         } catch (e) {
diff --git a/packages/jest-jasmine2/src/jasmine/Spec.ts b/packages/jest-jasmine2/src/jasmine/Spec.ts
index 8f0bcdfe5db4..30ea80466a37 100644
--- a/packages/jest-jasmine2/src/jasmine/Spec.ts
+++ b/packages/jest-jasmine2/src/jasmine/Spec.ts
@@ -171,7 +171,7 @@ export default class Spec {
     }
   }
 
-  execute(onComplete: Function, enabled: boolean) {
+  execute(onComplete?: () => void, enabled?: boolean) {
     const self = this;
 
     this.onStart(this);
@@ -203,7 +203,7 @@ export default class Spec {
 
     this.currentRun.then(() => complete(true));
 
-    function complete(enabledAgain: boolean) {
+    function complete(enabledAgain?: boolean) {
       self.result.status = self.status(enabledAgain);
       self.resultCallback(self.result);
 
diff --git a/packages/jest-jasmine2/src/jasmine/jasmineLight.ts b/packages/jest-jasmine2/src/jasmine/jasmineLight.ts
index dc1ae4e42682..7bfb21227203 100644
--- a/packages/jest-jasmine2/src/jasmine/jasmineLight.ts
+++ b/packages/jest-jasmine2/src/jasmine/jasmineLight.ts
@@ -30,7 +30,7 @@ WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
 */
 /* eslint-disable sort-keys */
 
-import type {Jasmine} from '../types';
+import type {Jasmine, SpecDefinitionsFn} from '../types';
 import createSpy from './createSpy';
 import Env from './Env';
 import JsApiReporter from './JsApiReporter';
@@ -45,7 +45,7 @@ export const create = function (createOptions: Record<string, any>): Jasmine {
 
   j$._DEFAULT_TIMEOUT_INTERVAL = createOptions.testTimeout || 5000;
 
-  j$.getEnv = function (options?: object) {
+  j$.getEnv = function (options?: Record<string, unknown>) {
     const env = (j$.currentEnv_ = j$.currentEnv_ || new j$.Env(options));
     //jasmine. singletons in here (setTimeout blah blah).
     return env;
@@ -66,15 +66,15 @@ export const create = function (createOptions: Record<string, any>): Jasmine {
 // Interface is a reserved word in strict mode, so can't export it as ESM
 export const _interface = function (jasmine: Jasmine, env: any) {
   const jasmineInterface = {
-    describe(description: string, specDefinitions: Function) {
+    describe(description: string, specDefinitions: SpecDefinitionsFn) {
       return env.describe(description, specDefinitions);
     },
 
-    xdescribe(description: string, specDefinitions: Function) {
+    xdescribe(description: string, specDefinitions: SpecDefinitionsFn) {
       return env.xdescribe(description, specDefinitions);
     },
 
-    fdescribe(description: string, specDefinitions: Function) {
+    fdescribe(description: string, specDefinitions: SpecDefinitionsFn) {
       return env.fdescribe(description, specDefinitions);
     },
 
diff --git a/packages/jest-jasmine2/src/jasmineAsyncInstall.ts b/packages/jest-jasmine2/src/jasmineAsyncInstall.ts
index 0a6768348f7c..b33e399cc304 100644
--- a/packages/jest-jasmine2/src/jasmineAsyncInstall.ts
+++ b/packages/jest-jasmine2/src/jasmineAsyncInstall.ts
@@ -17,26 +17,30 @@ import throat from 'throat';
 import isError from './isError';
 import type {Jasmine} from './types';
 import type Spec from './jasmine/Spec';
-import type {QueueableFn} from './queueRunner';
+import type {DoneFn, QueueableFn} from './queueRunner';
 
-interface DoneFn {
-  (): void;
-  fail: (error: Error) => void;
-}
-
-function isPromise(obj: any) {
+function isPromise(obj: any): obj is PromiseLike<unknown> {
   return obj && typeof obj.then === 'function';
 }
 
+const doneFnNoop = () => {};
+
+doneFnNoop.fail = () => {};
+
 function promisifyLifeCycleFunction(
-  originalFn: Function,
+  originalFn: (beforeAllFunction: QueueableFn['fn'], timeout?: number) => void,
   env: Jasmine['currentEnv_'],
 ) {
   return function <T>(
-    fn: Function | (() => Promise<T>) | GeneratorFunction | undefined,
+    fn:
+      | ((done: DoneFn) => void | PromiseLike<T>)
+      | (() => Promise<T>)
+      | GeneratorFunction
+      | undefined,
     timeout?: number,
-  ) {
+  ): void {
     if (!fn) {
+      // @ts-expect-error: missing fn arg is handled by originalFn
       return originalFn.call(env);
     }
 
@@ -59,7 +63,7 @@ function promisifyLifeCycleFunction(
     // didn't return a promise.
     const asyncJestLifecycle = function (done: DoneFn) {
       const wrappedFn = isGeneratorFn(fn) ? co.wrap(fn) : fn;
-      const returnValue = wrappedFn.call({});
+      const returnValue = wrappedFn.call({}, doneFnNoop);
 
       if (isPromise(returnValue)) {
         returnValue.then(done.bind(null, null), (error: Error) => {
@@ -82,12 +86,21 @@ function promisifyLifeCycleFunction(
 // Similar to promisifyLifeCycleFunction but throws an error
 // when the return value is neither a Promise nor `undefined`
 function promisifyIt(
-  originalFn: Function,
+  originalFn: (
+    description: string,
+    fn: QueueableFn['fn'],
+    timeout?: number,
+  ) => Spec,
   env: Jasmine['currentEnv_'],
   jasmine: Jasmine,
 ) {
-  return function (specName: string, fn: Function, timeout?: number) {
+  return function (
+    specName: string,
+    fn?: (done: DoneFn) => void | PromiseLike<void>,
+    timeout?: number,
+  ): Spec {
     if (!fn) {
+      // @ts-expect-error: missing fn arg is handled by originalFn
       const spec = originalFn.call(env, specName);
       spec.pend('not implemented');
       return spec;
@@ -109,7 +122,7 @@ function promisifyIt(
 
     const asyncJestTest = function (done: DoneFn) {
       const wrappedFn = isGeneratorFn(fn) ? co.wrap(fn) : fn;
-      const returnValue = wrappedFn.call({});
+      const returnValue = wrappedFn.call({}, doneFnNoop);
 
       if (isPromise(returnValue)) {
         returnValue.then(done.bind(null, null), (error: Error) => {
diff --git a/packages/jest-jasmine2/src/jestExpect.ts b/packages/jest-jasmine2/src/jestExpect.ts
index e0495cb9f0b7..15b988134042 100644
--- a/packages/jest-jasmine2/src/jestExpect.ts
+++ b/packages/jest-jasmine2/src/jestExpect.ts
@@ -14,18 +14,10 @@ import {
   toThrowErrorMatchingInlineSnapshot,
   toThrowErrorMatchingSnapshot,
 } from 'jest-snapshot';
-import type {Jasmine, RawMatcherFn} from './types';
+import type {Jasmine, JasmineMatchersObject, RawMatcherFn} from './types';
 
 declare const global: Global.Global;
 
-type JasmineMatcher = {
-  (matchersUtil: any, context: any): JasmineMatcher;
-  compare: () => RawMatcherFn;
-  negativeCompare: () => RawMatcherFn;
-};
-
-type JasmineMatchersObject = {[id: string]: JasmineMatcher};
-
 export default (config: {expand: boolean}): void => {
   global.expect = expect;
   expect.setState({expand: config.expand});
diff --git a/packages/jest-jasmine2/src/queueRunner.ts b/packages/jest-jasmine2/src/queueRunner.ts
index 789b618a3824..b411223d3cce 100644
--- a/packages/jest-jasmine2/src/queueRunner.ts
+++ b/packages/jest-jasmine2/src/queueRunner.ts
@@ -20,8 +20,13 @@ export type Options = {
   userContext: any;
 };
 
+export interface DoneFn {
+  (error?: any): void;
+  fail: (error: Error) => void;
+}
+
 export type QueueableFn = {
-  fn: (done: (error?: any) => void) => void;
+  fn: (done: DoneFn) => void;
   timeout?: () => number;
   initError?: Error;
 };
diff --git a/packages/jest-jasmine2/src/types.ts b/packages/jest-jasmine2/src/types.ts
index b97db928ef04..06c96674a5ae 100644
--- a/packages/jest-jasmine2/src/types.ts
+++ b/packages/jest-jasmine2/src/types.ts
@@ -20,6 +20,8 @@ import type {default as Suite, SuiteResult} from './jasmine/Suite';
 import type SpyStrategy from './jasmine/SpyStrategy';
 import type CallTracker from './jasmine/CallTracker';
 
+export type SpecDefinitionsFn = () => void;
+
 export interface AssertionErrorWithStack extends AssertionError {
   stack: string;
 }
@@ -64,11 +66,21 @@ export interface Spy extends Record<string, any> {
   restoreObjectToOriginalState?: () => void;
 }
 
+type JasmineMatcher = {
+  (matchersUtil: unknown, context: unknown): JasmineMatcher;
+  compare: () => RawMatcherFn;
+  negativeCompare: () => RawMatcherFn;
+};
+
+export type JasmineMatchersObject = {[id: string]: JasmineMatcher};
+
 export type Jasmine = {
   _DEFAULT_TIMEOUT_INTERVAL: number;
   DEFAULT_TIMEOUT_INTERVAL: number;
   currentEnv_: ReturnType<typeof Env>['prototype'];
-  getEnv: (options?: object) => ReturnType<typeof Env>['prototype'];
+  getEnv: (
+    options?: Record<string, unknown>,
+  ) => ReturnType<typeof Env>['prototype'];
   createSpy: typeof createSpy;
   Env: ReturnType<typeof Env>;
   JsApiReporter: typeof JsApiReporter;
@@ -79,7 +91,7 @@ export type Jasmine = {
   Timer: typeof Timer;
   version: string;
   testPath: Config.Path;
-  addMatchers: Function;
+  addMatchers: (matchers: JasmineMatchersObject) => void;
 } & typeof expect &
   NodeJS.Global;