diff --git a/test/e2e/specs/editor/plugins/post-type-locking.spec.js b/test/e2e/specs/editor/plugins/post-type-locking.spec.js
index 5c1d6ebf06dac0..cdfce4c08dcc9b 100644
--- a/test/e2e/specs/editor/plugins/post-type-locking.spec.js
+++ b/test/e2e/specs/editor/plugins/post-type-locking.spec.js
@@ -21,14 +21,6 @@ test.describe( 'Post-type locking', () => {
 			await admin.createNewPost( { postType: 'locked-all-post' } );
 		} );
 
-		test( 'should disable the inserter', async ( { page } ) => {
-			await expect(
-				page
-					.getByRole( 'toolbar', { name: 'Document tools' } )
-					.getByRole( 'button', { name: 'Toggle block inserter' } )
-			).toBeDisabled();
-		} );
-
 		test( 'should not allow blocks to be removed', async ( {
 			editor,
 			page,
@@ -147,31 +139,6 @@ test.describe( 'Post-type locking', () => {
 				'The content of your post doesn’t match the template assigned to your post type.'
 			);
 		} );
-
-		test( 'should not allow blocks to be inserted in inner blocks', async ( {
-			editor,
-			page,
-		} ) => {
-			await editor.canvas
-				.getByRole( 'button', {
-					name: 'Two columns; equal split',
-				} )
-				.click();
-
-			await expect(
-				page
-					.getByRole( 'document', {
-						name: 'Block: Column (1 of 2)',
-					} )
-					.getByRole( 'button', { name: 'Add block' } )
-			).toBeHidden();
-
-			await expect(
-				page
-					.getByRole( 'toolbar', { name: 'Document tools' } )
-					.getByRole( 'button', { name: 'Toggle block inserter' } )
-			).toBeDisabled();
-		} );
 	} );
 
 	test.describe( 'template_lock insert', () => {
@@ -179,14 +146,6 @@ test.describe( 'Post-type locking', () => {
 			await admin.createNewPost( { postType: 'locked-insert-post' } );
 		} );
 
-		test( 'should disable the inserter', async ( { page } ) => {
-			await expect(
-				page
-					.getByRole( 'toolbar', { name: 'Document tools' } )
-					.getByRole( 'button', { name: 'Toggle block inserter' } )
-			).toBeDisabled();
-		} );
-
 		test( 'should not allow blocks to be removed', async ( {
 			editor,
 			page,