diff --git a/core/profiles/minimal/tests/src/Functional/MinimalTest.php b/core/profiles/minimal/tests/src/Functional/MinimalTest.php
index 2f3a9f1f066..ffea86934e6 100644
--- a/core/profiles/minimal/tests/src/Functional/MinimalTest.php
+++ b/core/profiles/minimal/tests/src/Functional/MinimalTest.php
@@ -21,14 +21,6 @@ class MinimalTest extends BrowserTestBase {
 
   protected $profile = 'minimal';
 
-  /**
-   * {@inheritdoc}
-   *
-   * @todo Remove and fix test to not rely on super user.
-   * @see https://www.drupal.org/project/drupal/issues/3437620
-   */
-  protected bool $usesSuperUserAccessPolicy = TRUE;
-
   /**
    * {@inheritdoc}
    */
@@ -55,7 +47,9 @@ class MinimalTest extends BrowserTestBase {
     $this->assertSession()->pageTextContains('Administration');
 
     // Ensure that there are no pending updates after installation.
-    $this->drupalLogin($this->rootUser);
+    $this->drupalLogin($this->drupalCreateUser([
+      'administer software updates',
+    ]));
     $this->drupalGet('update.php/selection');
     $this->updateRequirementsProblem();
     $this->drupalGet('update.php/selection');