diff --git a/README.md b/README.md
index d3721a9c7..b52752233 100644
--- a/README.md
+++ b/README.md
@@ -640,7 +640,6 @@ This will be indicated in the output with one of the following suffixes:
 - [pip-compile-multi](https://pip-compile-multi.readthedocs.io/en/latest/) - pip-compile command wrapper for multiple cross-referencing requirements files.
 - [pipdeptree](https://github.com/tox-dev/pipdeptree) to print the dependency tree of the installed packages.
 - `requirements.in`/`requirements.txt` syntax highlighting:
-
   - [requirements.txt.vim](https://github.com/raimon49/requirements.txt.vim) for Vim.
   - [Python extension for VS Code](https://marketplace.visualstudio.com/items?itemName=ms-python.python) for VS Code.
   - [pip-requirements.el](https://github.com/Wilfred/pip-requirements.el) for Emacs.
diff --git a/piptools/repositories/pypi.py b/piptools/repositories/pypi.py
index 5a4448e3f..f585dfc34 100644
--- a/piptools/repositories/pypi.py
+++ b/piptools/repositories/pypi.py
@@ -447,9 +447,13 @@ def _wheel_support_index_min(self: Wheel, tags: list[Tag]) -> int:
         Wheel.support_index_min = _wheel_support_index_min
         self._available_candidates_cache = {}
 
-        # If we don't clear this cache then it can contain results from an
-        # earlier call when allow_all_wheels wasn't active. See GH-1532
-        self.finder.find_all_candidates.cache_clear()
+        # Finder internally caches results, and there is no public method to
+        # clear the cache, so we re-create the object here. If we don't clear
+        # this cache then it can contain results from an earlier call when
+        # allow_all_wheels wasn't active. See GH-1532
+        self._finder = self.command._build_package_finder(
+            options=self.options, session=self.session
+        )
 
         try:
             yield