diff --git a/lib/galaxy/selenium/navigates_galaxy.py b/lib/galaxy/selenium/navigates_galaxy.py
index 03def6f1b19..4e7535fb7bb 100644
--- a/lib/galaxy/selenium/navigates_galaxy.py
+++ b/lib/galaxy/selenium/navigates_galaxy.py
@@ -596,7 +596,9 @@ class NavigatesGalaxy(HasDriverProxy[WaitType]):
 
         def history_has_hid(driver=None):
             hids = get_hids()
-            return any(h == hid for h in hids)
+            # Return True or None (not False) so wait_on keeps polling
+            # wait_on treats any non-None value as success, including False
+            return True if any(h == hid for h in hids) else None
 
         timeout = self.wait_length(wait_type=WAIT_TYPES.JOB_COMPLETION)
         try:
diff --git a/lib/galaxy_test/selenium/test_history_storage.py b/lib/galaxy_test/selenium/test_history_storage.py
index 90e0cb090e9..cb542294404 100644
--- a/lib/galaxy_test/selenium/test_history_storage.py
+++ b/lib/galaxy_test/selenium/test_history_storage.py
@@ -1,6 +1,5 @@
 from .framework import (
     managed_history,
-    selenium_only,
     selenium_test,
     SeleniumTestCase,
 )
@@ -30,7 +29,6 @@ UPLOAD_DATA_3 = {
 class TestHistoryStorage(SeleniumTestCase):
     ensure_registered = True
 
-    @selenium_only("Not yet migrated to support Playwright backend")
     @selenium_test
     @managed_history
     def test_history_storage_accessibility(self):
@@ -57,7 +55,6 @@ class TestHistoryStorage(SeleniumTestCase):
         self.screenshot("storage_dashboard_manage_explore_usage_landing")
         self.assert_baseline_accessibility()
 
-    @selenium_only("Not yet migrated to support Playwright backend")
     @selenium_test
     @managed_history
     def test_delete_dataset_from_storage_view(self):