diff --git a/tests/phpunit/tests/admin/wpSiteHealthAutoUpdates.php b/tests/phpunit/tests/admin/wpSiteHealthAutoUpdates.php
index 4366a6ef1fc5e..6561b6a99e08d 100644
--- a/tests/phpunit/tests/admin/wpSiteHealthAutoUpdates.php
+++ b/tests/phpunit/tests/admin/wpSiteHealthAutoUpdates.php
@@ -52,4 +52,82 @@ public function test_vcs_abspath_should_report_git_file() {
 		$this->assertStringContainsString( '<code>' . ABSPATH . '</code>', $result['description'] );
 		$this->assertStringContainsString( '<code>.git</code>', $result['description'] );
 	}
+
+	/**
+	 * Tests that the test reports a plugin removing wp_version_check() from
+	 * its hook on a single site install.
+	 *
+	 * This is the baseline for
+	 * test_wp_version_check_attached_should_report_removed_check_on_main_site().
+	 *
+	 * @group ms-excluded
+	 *
+	 * @covers WP_Site_Health_Auto_Updates::test_wp_version_check_attached
+	 */
+	public function test_wp_version_check_attached_should_report_removed_check() {
+		remove_action( 'wp_version_check', 'wp_version_check' );
+
+		$health_check = new WP_Site_Health_Auto_Updates();
+		$result       = $health_check->test_wp_version_check_attached();
+
+		$this->assertIsArray( $result, 'The test should report the removed version check.' );
+		$this->assertSame( 'fail', $result['severity'] );
+	}
+
+	/**
+	 * Tests that the test reports a plugin removing wp_version_check() from
+	 * its hook on the main site of a network.
+	 *
+	 * wp-includes/update.php only hooks wp_version_check() on the main site,
+	 * so the test is limited to the main site on multisite (see #52135). It
+	 * also requires the network admin, where Site Health has no screen, and
+	 * the background updates test runs through the REST API, where
+	 * is_network_admin() is false. The test never reports a problem on
+	 * multisite as a result.
+	 *
+	 * @ticket 52135
+	 * @group multisite
+	 * @group ms-required
+	 *
+	 * @covers WP_Site_Health_Auto_Updates::test_wp_version_check_attached
+	 */
+	public function test_wp_version_check_attached_should_report_removed_check_on_main_site() {
+		$this->assertTrue( is_main_site(), 'The test should run on the main site.' );
+		$this->assertFalse( is_network_admin(), 'Site Health does not run in the network admin.' );
+
+		remove_action( 'wp_version_check', 'wp_version_check' );
+
+		$health_check = new WP_Site_Health_Auto_Updates();
+		$result       = $health_check->test_wp_version_check_attached();
+
+		$this->assertIsArray( $result, 'The test should report the removed version check on the main site.' );
+		$this->assertSame( 'fail', $result['severity'] );
+	}
+
+	/**
+	 * Tests that the test does not report a missing wp_version_check() hook
+	 * on a site other than the main site of a network.
+	 *
+	 * wp-includes/update.php only hooks wp_version_check() on the main site,
+	 * so the hook is always missing on other sites.
+	 *
+	 * @ticket 52135
+	 * @group multisite
+	 * @group ms-required
+	 *
+	 * @covers WP_Site_Health_Auto_Updates::test_wp_version_check_attached
+	 */
+	public function test_wp_version_check_attached_should_not_report_on_other_sites() {
+		$site_id = self::factory()->blog->create();
+		switch_to_blog( $site_id );
+
+		remove_action( 'wp_version_check', 'wp_version_check' );
+
+		$health_check = new WP_Site_Health_Auto_Updates();
+		$result       = $health_check->test_wp_version_check_attached();
+
+		restore_current_blog();
+
+		$this->assertNull( $result );
+	}
 }