He does use a litter box, doesn’t he, and isn’t just peeing on the floor and sitting in puddles? What kind of litter are you using? Is his litter box large enough and do you clean out the wet areas every day? You may have to use something different or get one of the litter box screens. They are sold here in the BB store, but I think they are out of stock right now.
It is not good for his feet to be constantly wet. That can lead to fur loss and irritation and you also don’t want him tracking pee through your house. You could try setting him down on some ultra absorbent dish towels and holding him there to try to wick away the pee without really touching his feet. You can also use baby cornstarch powder to clean him using a dry method.
The best thing is to prevent it from happening in the first place, either with different litter or a litter screen, rather than trying to clean or dry his feet.
I assume that he is peeing normally and not straining or dribbling on his feet, as he might if he had a UTI.