My LO (7 wks) has been like that, too, until the past few days. He slept in the kozy on and off all day. He will take a good nap in the AM (in the kozy) if I am moving (vacuuming, cleaning, etc), otherwise just catnaps. I have found, though, that he seems to be less cranky the past few days if he takes a nap in bed. It is hard with my other two kids here, though.
So, I have been laying down with him to nurse for about 30 minutes (with my three year old in and out of the room, so not so conducive to sleep). He dozes on and off during that time, but if I get up while he is sleepy and leave him laying there, he will doze off to sleep and sleep for an hour or two. If I stay in bed with him, he won't sleep as well (which is wierd because at night, he will only sleep in my arms, go figure).
I know this doesn't work for all kids, my other two never would have gone to sleep if I left them in bed while they were still awake, but it seems to be what he needs to fall asleep (BTW, he doesn't cry at all while falling asleep). Oh, I have to swaddle him for naps, too, or he won't go to sleep. So, we have been doing on hour or so in the kozy while I clean the house (added bonus is my house has been cleaner) and 1 to 2 hours in the afternoon in bed, most days. Then he dozes on and off around those two "official" naps...