Can I sleep on my stomach after having a laparoscopic cholecystectomy?

I had my gallbladder removed this morning around 9:30 and I was given pain meds to take at home. The pain meds are of course making me tired but I feel like I am fighting the sleep because I normally sleep on my stomach. I did roll onto my stomach during my sleep and there was no pain that I could feel from doing this.

I'm not in any major pain but there is enough that I do feel I need the meds. I don't know if it makes any difference but I was told there were several dozen small gallstones removed from my gallbladder. There were no problems during the surgery and there doesn't appear to be any blood on the bandages over the incisions.

Could sleeping on my stomach cause any complications? And if so what are they?

Thanks in advance for any advice!