Sleep help

My 11 week old is currently sick with a cold, as am I and I really need some tips on how to get him to sleep longer than 30 min naps during the day. He usually sleeps for 2-3hrs when body contact is involved but when I put him down in say his bassinet he’ll only sleep for 30mins. I’m struggling big time as I’m exhausted and he wants to be held all day long, which I can’t blame him for but i have major hot sweats and a super runny nose atm.

I have tried bathing before putting him down, feeding him to sleep, rocking, walking up and down the hallway with him.. please help