Newborn co-sleeping

My baby is 2 weeks old and he tends to sleep better when he plays on his back next to me in our bed instead of his crib. I feel safer when he is next to me because I can hear him and want to make sure hes ok.. but my husband tells me because it isnt safe because our bed is softer than the crib mattress. Its just a regular King size bed, no special mattress or anything, So now I'm super paranoid and cant sleep over the worry. Do you co sleep? Is my husband right? 😭 I'm worried about SIDS

anh experience with this?