Chances are that your baby will be able to play in their travel bed, but they should, of course, be supervised at all times. Depending on the age of your baby, they may have trouble playing in their baby travel bed if it isn’t large enough. Some travel baby beds have plenty of room that would even allow them to be used for the baby to crawl around. Some baby travel beds also have places to store or even hang up toys for the baby to play with and/or look at.