Possible to Override jQuery Dialog CSS for only one of two dialog boxes?

Possible to Override jQuery Dialog CSS for only one of two dialog boxes?

I'm working on a site that uses jQuery Dialog for two different overlays.

One of the overlays needs to have its style changed in a number of ways, but the other should use the standard dialog UI CSS.

Is it possible to use the .dialog function with two different CSS files? Or is there a better way around this?