Can I still get shots if I test negative but clearly am allergic to dogs?

At my old allergist, I tested negative to dogs on both the skin prick and blood test but because I was still experiencing allergies towards dogs the allergist gave me shots which helped. Now I'm in a different state and was wondering if a new allergist will do the same if I happen to test negative again? My old allergist can send the records stating I was getting shots for dogs.