.../fixtures/update/rest-module-installed.php      | 38 ++++++++++++++++++++++
 .../Update/RestSettingsDeletionUpdateTest.php      | 37 +++++++++++++++++++++
 2 files changed, 75 insertions(+)

diff --git a/core/modules/rest/tests/fixtures/update/rest-module-installed.php b/core/modules/rest/tests/fixtures/update/rest-module-installed.php
new file mode 100644
index 0000000000..476dc9b5ce
--- /dev/null
+++ b/core/modules/rest/tests/fixtures/update/rest-module-installed.php
@@ -0,0 +1,38 @@
+<?php
+
+/**
+ * @file
+ * Test fixture for \Drupal\Tests\rest\Functional\Update\RestExportAuthCorrectionUpdateTest.
+ */
+
+use Drupal\Core\Database\Database;
+
+$connection = Database::getConnection();
+
+// Set the schema version.
+$connection->insert('key_value')
+  ->fields([
+    'collection' => 'system.schema',
+    'name' => 'rest',
+    'value' => 'i:8000;',
+  ])
+  ->execute();
+
+// Update core.extension.
+$extensions = $connection->select('config')
+  ->fields('config', ['data'])
+  ->condition('collection', '')
+  ->condition('name', 'core.extension')
+  ->execute()
+  ->fetchField();
+$extensions = unserialize($extensions);
+$extensions['module']['rest'] = 0;
+$extensions['module']['serialization'] = 0;
+$extensions['module']['basic_auth'] = 0;
+$connection->update('config')
+  ->fields([
+    'data' => serialize($extensions),
+  ])
+  ->condition('collection', '')
+  ->condition('name', 'core.extension')
+  ->execute();
diff --git a/core/modules/rest/tests/src/Functional/Update/RestSettingsDeletionUpdateTest.php b/core/modules/rest/tests/src/Functional/Update/RestSettingsDeletionUpdateTest.php
new file mode 100644
index 0000000000..b1a7b384b2
--- /dev/null
+++ b/core/modules/rest/tests/src/Functional/Update/RestSettingsDeletionUpdateTest.php
@@ -0,0 +1,37 @@
+<?php
+
+namespace Drupal\Tests\rest\Functional\Update;
+
+use Drupal\FunctionalTests\Update\UpdatePathTestBase;
+
+/**
+ * Ensures that update hook is run properly for deleting obsolete REST settings.
+ *
+ * @group legacy
+ */
+class RestSettingsDeletionUpdateTest extends UpdatePathTestBase {
+
+  /**
+   * {@inheritdoc}
+   */
+  protected function setDatabaseDumpFiles() {
+    $this->databaseDumpFiles = [
+      __DIR__ . '/../../../../../system/tests/fixtures/update/drupal-8.8.0.bare.standard.php.gz',
+      __DIR__ . '/../../../fixtures/update/rest-module-installed.php',
+    ];
+  }
+
+  /**
+   * Ensures that update hook is run for "rest" module.
+   */
+  public function testUpdate() {
+    $rest_settings = $this->config('rest.settings');
+    $this->assertSame([], $rest_settings->getRawData());
+
+    $this->runUpdates();
+
+    $rest_settings = \Drupal::configFactory()->get('rest.settings');
+    $this->assertSame([], $rest_settings->getRawData());
+  }
+
+}