I think it would ALLOW him to use Susanoo, but he would have to work to actually perform and understand it.
Plus, that will never happen. When a sharingan is tranferred into a non-sharingan user, they can never deactivate it... they have to cover it up in order to avoid chakra consumption, as Kakashi has shown. He can transfer the powers which he's using with the sharingan, but he can never deactivate it and turn it back on as if he was an actual Uchiha.
SO if Sasuke were to (for some reason) transfer his sharingan to Naruto, he would either have to learn to activate and deactivate it (which would be near impossible), or cover up both of his eyes and learn to walk by smell, which I honestly don't see happening.