Pat.. you know I saw your post and thought HUH? Then reread and saw I TOTALLY missed the itching sentence. No, I'm not tired! 🙂
Agree with Pat, could be fleas, could be other things. I'd flea comb the base and see if you find flea dirt, fleas, scabs etc. If the coat in general is good, and you find nothing combing and bathing doesn't help, rubbing a little anti-itch med into the base and distracting til it dries might help.