baby sleeping on tummy ?

Daughter is almost 5 months, she rolls over but not in her sleep.  She fell asleep on my chest today during her nap and I put her down on her tummy while I sat there watching her to make sure she can breathe. I usually never let her sleep on her tummy unless she's on my chest and I Dina that she sleeps much better on tummy. Is it safe to let her sleep this way?