Co sleeping

Everytime I place my 7 week old in the bassinet next to our bed he wakes up, I pick him up to breastfeed him and place him back , he’ll be milk drunk as sleep, and he’ll just wake up as soon as I put him down. And ends up on my boob all night. He’s gotten used to sleeping next to me in the bed and it’s driving me nuts because I don’t end up sleeping, too scared in case I squash him. Any tips ?