ugh well I just got out of a non-relationship where we dated for two months, after him telling me he didn't want a relationship "yet", and then he broke up with me for the reason that "he didn't want a relationship".
Personally I think it was stupid of me for continuing to date/hook up with him even after he told me he didn't want a relationship. Not that I think I am completely ready for a relationship either, but I was willing to try, and he wasn't.
It ended up being a very non-fulfilling experience cause he wouldn't make any effort to call me or talk to me, and basically just let things fall apart after a while.
It gets really stressful being in that kind of relationship cause you never know how the other person feels about you because they will never call you their girlfriend and probably not make public displays of affection with you around their friends (ie. holding hands, etc.).
So I would advice against it.
HOWEVER if this is the kind of thing you think you want right now, then go for it.
But from my past experience, it kinda sucks.
If he REALLY liked you, wouldn't he want to try for a relationship? Or at least keep that option open for the future?