When can a baby stop wearing the little mittens on his hands

Danielle • Married to my best friend. Jason Tyler born 04-14-17 @ 2:48 am
My son is 2 months old and im wondering when he can stop wearing the little mittens on his hands? His done out grown all but to outfits that have the mittens made on them. His hands get cold but idk if thats ok or not. Is it ok to let him not wear them when his sleeping even if his hands are cold? His not being swaddled anymore he grew out of that fast. All i have is to little gowns that have the mittens in them and they get dirty alot because his spitting up on them and im having to wash clothes every other day thats why im wondering if its or for him to not wear the mittens