Baby sleeping

So my month old baby hates sleeping on his back. We have tried tilting one side of the pack and play...didnt work. So he tends to sleep on my chest or in his boppy and my husband and I are taking turns watching him. Today iv been putting him down in the pac n play when he falls asleep to help get him to like sleeping on his back. All day hes been waking up after 10 min. But at this very moment hes sleeping on his side and didnt make a fuss when I had put him down. Is sleeping on his side ok?