If i got my male cat neutered, will he stop spraying?

Okay so about 2 days ago, i found a stray kitty. We took him to the vet today and he checked out great. He's healthy. So the next step is to get him neutered, declawed and see if he'll get along with my other kitty. We have him penned up in the basement bc he isn't litter trained yet(although he is on his way! He pooped in a corner yesterday morning and i picked it up and placed it in his liter pan. After that he started to go in the pan). So i noticed on the first day he started spraying as soon as we got him into our basement. I haven't noticed him doing it too much since, but it really smells down there now. I was wondering that if we got him neutered would he stop spraying? (bc we want to bring him up upstrais into the rest of the house with our other cat once he is litter trained, neutered and declawed. btw he will be an inside cat now) Bc if he doesn't stop i don't think we'll be able to keep him =( also if my other cat doesn't stop hating him, we'll have to give him away as well. But it's only been a few days and i have hope. It's just her. He doesn't do zip! He just lays there and she is the one having a cow!!! Sometimes she acts up so much he gets a little afraid of her. I'm thinking she just needs to get used to him.