Jen Aniston Hooks Up with Brad

6/19/2009 10:20 AM PDT
No, not that Brad ... but "The Hangover" star Bradley Cooper.

and Bradley -- who co-starred in "He's Just Not That Into You" together -- were spotted leaving a restaurant in NYC last night.

The Ugly Truth:: Cooper swears the two aren't dating -- but two people leaving an intimate, fancy dinner on a Thursday night ... seems like a date to us.