Hello ladies. My LO is 4 1/2mos now. She was similar. She would sometimes wake up immediately sometime I could get her in the bassinet for a bit. I guess I just camped out on the couch most of the time, but I had older kids to help fetch things and whatnot. I did mention it to the Dr. at her last visit (about 2wks ago) and he said it was normal. Some babies don't need as much sleep, and mine does well at night too so I figure she must be getting enough. I've had other LOs do the same thing.
I have a friend who wore her sling 24/7. I only saw her LOs face for the longest time! My friend let me try her sling ('cuz I've got to get off the couch and I believe in keeing her close). Any way, she slept like a log (or should I say twig?) and my older daughter (who loves to sew) is making me a sling from the pattern of my friends old one!