Do Staffordshire bull terriers drool after long walks?

No! I own a female Staffordshire Bull Terrier. They don't drool. In general, the wet-mouthed dogs are those with loose jowels. The Staffordshire Bull Terrier has tight lips/jowels.

Also, a male dog that is not neutered in any breed, not just wet-mouthed breeds, may produce some drool when it gets sexually excited around a female dog that has not been fixed.

But in general, SBT's do *not* drool.