diff --git a/_inc/client/components/global-notices/style.scss b/_inc/client/components/global-notices/style.scss
index 71b0e3ec616c..6ebc17cb1f65 100644
--- a/_inc/client/components/global-notices/style.scss
+++ b/_inc/client/components/global-notices/style.scss
@@ -18,18 +18,24 @@
 		right: 16px;
 		bottom: auto;
 		left: auto;
-		max-width: calc( 100% - 32px );
+
+		/* `36px` being the width of the collapsed WP-admin sidebar */
+		max-width: calc( 100% - 32px - 36px );
 	}
 
 	@include breakpoint( ">960px" ) {
 		top: 47px + 24px;
 		right: 24px;
-		max-width: calc( 100% - 48px );
+
+		/* `160px` being the width of the WP-admin sidebar */
+		max-width: calc( 100% - 48px - 160px );
 	}
 
 	@include breakpoint( ">1040px" ) {
 		right: 32px;
-		max-width: calc( 100% - 64px );
+
+		/* `160px` being the width of the WP-admin sidebar */
+		max-width: calc( 100% - 64px - 160px );
 	}
 }
 
diff --git a/_inc/client/components/notice/index.jsx b/_inc/client/components/notice/index.jsx
index bfbe5f61619a..2c52ab9d2d5d 100644
--- a/_inc/client/components/notice/index.jsx
+++ b/_inc/client/components/notice/index.jsx
@@ -76,6 +76,10 @@ export default class SimpleNotice extends React.Component {
 		return icon;
 	};
 
+	clearText( text ) {
+		return text.replace( /(<([^>]+)>)/gi, '' );
+	}
+
 	render() {
 		const {
 			children,
@@ -99,7 +103,7 @@ export default class SimpleNotice extends React.Component {
 					<Gridicon className="dops-notice__icon" icon={ icon || this.getIcon() } size={ 24 } />
 				</span>
 				<span className="dops-notice__content">
-					<span className="dops-notice__text">{ text ? text : children }</span>
+					<span className="dops-notice__text">{ text ? this.clearText( text ) : children }</span>
 				</span>
 				{ text ? children : null }
 				{ showDismiss && (