如何使用jQuery的mousemove同时使用悬停属性？

I have coded a simple div containing an image that follows the mouse cursor only when the mouse is present within the div using jQuery's mousemove property. It works great, except for I would like the image to be hidden by default, and to only appear when the mouse is present (and then when the mouse leaves, to disappear again.) This could normally be handled with the hover property, but it does not work when placed with the mousemove property. Any ideas? Here is the basic code that I am using at the moment:I have coded a simple div containing an image t