JQuery :: Animating Superfish Custom Arrow In Sub Menu?

I've added a custom arrow to the Superfish sub menu, and the problem that I'm experiencing right now is that it gets animated together with the Superfish menu and only shows up a tad bit too late and does not look smooth.I'd like to smoothen it up a bit by adding my own animation to the arrow image.Simply hover over CONTACT, then you'll see the sub menu. As you can see the arrow shows up with a delay.Now I'd like to make it slide up smoothly and I tried the following:

jQuery('ul.sf-menu li ul').parent().hover(
function() {
jQuery('.arrow img').slideUp('slow');

[code]....