diff --git a/tests/phpunit/tests/passwordHash.php b/tests/phpunit/tests/user/passwordHash.php
similarity index 55%
rename from tests/phpunit/tests/passwordHash.php
rename to tests/phpunit/tests/user/passwordHash.php
index a764159e09..1179ba25b2 100644
--- a/tests/phpunit/tests/passwordHash.php
+++ b/tests/phpunit/tests/user/passwordHash.php
@@ -5,7 +5,7 @@
  *
  * @covers PasswordHash
  */
-class Tests_PasswordHash extends WP_UnitTestCase {
+class Tests_User_PasswordHash extends WP_UnitTestCase {
 
 	public static function set_up_before_class() {
 		parent::set_up_before_class();
@@ -14,22 +14,21 @@ class Tests_PasswordHash extends WP_UnitTestCase {
 	}
 
 	/**
-	 * Tests that PasswordHash::gensalt_blowfish() does not throw a deprecation
-	 * notice on PHP 8.1 for "Implicit conversion from float to int loses precision".
+	 * Tests that PasswordHash::gensalt_blowfish() does not throw a deprecation notice on PHP 8.1.
 	 *
-	 * Should this test fail, it will produce an error "E" in the results.
+	 * The notice that we should not see:
+	 * `Deprecated: Implicit conversion from float to int loses precision`.
 	 *
 	 * @ticket 56340
 	 *
 	 * @covers PasswordHash::gensalt_blowfish
 	 *
 	 * @requires PHP 8.1
+	 * @doesNotPerformAssertions
 	 */
-	public function test_gensalt_blowfish_should_not_throw_deprecation_notice_in_php81() {
-			$this->expectNotToPerformAssertions();
-
-			$hasher = new PasswordHash( 8, true );
-			$hasher->gensalt_blowfish( 'a password string' );
+	public function test_gensalt_blowfish_should_not_throw_deprecation_notice_on_php81() {
+		$hasher = new PasswordHash( 8, true );
+		$hasher->gensalt_blowfish( 'a password string' );
 	}
 
 }