The best thing to do is to remove the fleas. It might sound like an uphill task, but it is the truth. It will take diligence and repetitive cleaning but in the meantime, keep long-sleeved onesies, pants, and socks on your baby to cover their skin.  Fleas don't jump high distances, and it's for this reason that they tend to stay off the furniture. So keeping your baby in a bassinet or crib away from the floor is another excellent method to avoid flea bites.