Not enough info provided.
You want him to spend more time with you. Apparently he is busy doing other things. Such as...???
Or, perhaps he isn't busy doing other things and you get 2 out of 7 days. What is he doing in the meantime?
Is it something of differing perceptions? He feels he is busy doing stuff that is important to him while you feel he isn't doing much and could spend more with you--???
Do the 2 days you get fall into a routine? (ex: dinner / movie / sex / repeat----if so, you're his weekend piece..)
Is the time you get now quality time? (btw, if "no" how would adding more days help?)
Careful of your own issues here. You may be wanting some indication that the relationship is moving somewhere and settled on "spend more time with me to prove this is meaningful" as the sign you're looking for from him.
Another might be that "we're in a relationship, and that means that certain rules apply, and one of them is that we do most things together and..." etc. etc. etc. Which is handling it by rules and not by what is actually real between you two.
Oh, and why don't you want to break up with him? It's been a year, I'm suspecting that it's gotten routine and kinda dull, doing it by the numbers type thing--is it fear of getting back out on the market or getting a guy who can work out for you is a low percentage thing (don't take that wrong, it's true for most of us)--???