Well... does where you work have a policy on coworker dating?
Clearly it would be not cool if either of you is the other one's boss type person.
If you have a larger company it could be in your employee handbook and if you work in totally far apart departments that could be ok.
If a smaller, more casual working environment, it may not have any resources mapped out, and you guys may be too tight in the same office space.
For myself, I wouldn't bother to date a coworker -- just gets messy. But that's a personal policy, not a company policy.