diff --git a/test/unit/ajax.js b/test/unit/ajax.js
index ad44ba68b..77648404c 100644
--- a/test/unit/ajax.js
+++ b/test/unit/ajax.js
@@ -1532,10 +1532,17 @@ module( "ajax", {
 		}
 	} );
 
-	testIframeWithCallback( "#14379 - jQuery.ajax() on unload", "ajax/onunload.html", function( status ) {
-		expect( 1 );
-		strictEqual( status, "success", "Request completed" );
-	});
+	// Support: Chrome 31.
+	// Chrome 31 doesn't fire Ajax requests in beforeunload event handler.
+	// There is no way for us to workaround it and it's been fixed in Chrome 32
+	// so let's just blacklist Chrome 31 as long as it's in TestSwarm.
+	// See https://code.google.com/p/chromium/issues/detail?id=321241
+	if ( navigator.userAgent.indexOf( " Chrome/31." ) === -1 ) {
+		testIframeWithCallback( "#14379 - jQuery.ajax() on unload", "ajax/onunload.html", function( status ) {
+			expect( 1 );
+			strictEqual( status, "success", "Request completed" );
+		});
+	}
 
 //----------- jQuery.ajaxPrefilter()