I don't know for sure but isn't asexuality like long lasting? The guy who replied before me said that 'eventually nature will call'...but I always thought that once u r diagnosed with asexuality it kinda sticks to you, which means that it ain't easy, maybe even impossible, to go from asexuality to sexually active?
To the initial poster : if he really is asexual I guess it's best to break up now, since u seem to be sexually active and if something this big is missing in a relationship it can't work, since cuddling (do asexual people even cuddle?)won't simply do it.