We recently heard that TATYANA ALI has a weakness for ONE-NIGHT STANDS.  So, did she have one this week with DRAKE?

Apparently, Tatyana's been drooling over Drake in recent interviews.  And earlier this week she was out at a club celebrating her 34th birthday. 

Drake ended up at Tatyana's table, and they left together.  (The rarely-reliable MediaTakeOut.com has pics of them together and looking pretty cozy.  Check 'em out here.)