Been 'dating' my coworker, but my contract is ending.

There is this guy from work who I have been sleeping with for about 2½ months now. It happened rather suddenly, as I was fresh out of a relationship and we went for drinks and it just happened.

Before all this, colleagues have been telling me he's interested/likes me so I guess that is what made me sleep with him. He's attractive but younger (f22 & m30) and overall my type. At work and outside of it he is all smiles, we do all the bickering and unnecessary touching. We meet about 1-2 nights a week and he usually stays at my place, since he lives further away. We usually sleep with each other within the first hour of getting home and then we just spent the time after/night/morning after cuddling until we have to get up. We talked about it once a month ago and established we are dating, but he's also okay with me seeing other people (he isn't seeing anyone else on the side), and he also said back then that if I wanted something more serious he'd be okay as well.

My contract ends at the end of the month and I got a new job, now the question is, do I ask him if we're gonna keep seeing each other and if this is something serious or if it's ending?