Tummy sleeper

Can I let my 3 1/2 month old sleep on his tummy? He's rolled over a handful of times and moves his head to the slide so he's not face down. We've been attempting getting him to sleep in his bed next to ours for the last month but it's just not happening. When we cosleep (against my will 😂) he's normally on his side to bf easier. But anyways tonight he cried for a solid hour and when I put him on his tummy (just to see) he went to sleep almost instantly.