Accidentally dropped puppy onto apartment floor and he started crying, help!!!

I was holding my puppy with one hand and kinda wiggling his snout with the other hand in a playful manner, we rough-house a lot and he's very playful. He twisted around and fell down out of my other hand and started crying and whimpering. I picked him up immediately and held him and pet him and the whimpers subsided. I gave him a treat, he's limping around on his right front paw a small bit but he can still put weight on it.

I gently lowered him onto my bed and he's fallen asleep. I'm taking him to the vet tomorrow for shots, will they examine his leg too? I fell so so terrible and I really hope he's ok!