Nah. Don't do it. Even if she's actually interested in you (and LW has given no indicator as to whether or not she is, or it's just one-sided), if y'all break up that can make things super awkward for you both as well as your co-workers.

(I'm also sitting here like "how does this even cross a person's mind that this is an OK thing" but that might just be me being weird.)