jQuery UI Dialog send to background

[neoclaw]

I'm using jQuery UI Dialogs to handle some windows on my page.
I then have a "dropdown" menu that is shown when I hover a link, but the menu is behind the dialog windows.
How can I handle this problem? Is there a way to send the dialogs to the background, or maybe make a way to click through them?

[harbingerOTV]

Set your drop down to have a higher z-index than the dialog has?

[neoclaw]

I already tried that. But the menu is position: relative, and the dialog is absolute. Is that maybe the reason?
Are there any workaround to fix this?