diff -u b/core/modules/simpletest/src/WebTestBase.php b/core/modules/simpletest/src/WebTestBase.php
--- b/core/modules/simpletest/src/WebTestBase.php
+++ b/core/modules/simpletest/src/WebTestBase.php
@@ -179,7 +179,7 @@
    *
    * @var int
    */
-  protected $metaRefreshCount = 0;
+  protected $metaRefreshCount;
 
   /**
    * The kernel used in this test.
@@ -1221,6 +1221,9 @@
     }
     parent::tearDown();
 
+    // Ensure that the maximum meta refresh count is reset.
+    $this->maximumMetaRefreshCount = NULL;
+
     // Ensure that internal logged in variable and cURL options are reset.
     $this->loggedInUser = FALSE;
     $this->additionalCurlOptions = array();
diff -u b/core/modules/system/src/Tests/Batch/PageTest.php b/core/modules/system/src/Tests/Batch/PageTest.php
--- b/core/modules/system/src/Tests/Batch/PageTest.php
+++ b/core/modules/system/src/Tests/Batch/PageTest.php
@@ -74,7 +74,6 @@
     $this->maximumMetaRefreshCount = 1;
     $this->drupalGet('batch-test/test-title');
     $this->assertRaw('<div class="progress__description">Completed 1 of 1.</div>', 'Progress message for second step appears correctly.');
-    $this->maximumMetaRefreshCount = NULL;
   }
 
 }