Could my baby be too cold in bassinet?

Chelsea

My 3 week old son doesn't seem to be a fan of swaddling lately but I worry he's too cold in his bassinet because he doesn't sleep as long in it. I swore I would never co-sleep but when he was cluster feeding at night I started putting him in his Snuggle Me (similar to a Doc a Tot) in our bed between me and my husband and my LO and I are both sleeping better but I don't want to make a habit of it and want him back in his bassinet but I'm just worried about him being too cold if he's not swaddled.