And you probably want to minimize the steroid exposure, long-term side effects can be unpleasant for kittiboi (and you.) Coupla links:
Steroid Treatment - Effects in Cats
Side Effects Of Injectable and Oral Steroids In Cats
In a multi-cat household, fungal/bacterial pathogen identification can be somewhat easier - what (if anything) does he lick, lie/roll on, inhale or consume that the other kittehs do not lick/consume?
But allergen identification is harder with multiple kittehs, as you may need to feed him in isolation and/or prevent him from snitching the others' food/treats, while you do elimination diet trials.
Here's a good summary on cat allergies: Food Allergies in Cats
Also, do not forget to check possible environmental allergy triggers - I had one kittiboi who licked himself into an "Azerbaijani Poodle Cat" because (as we found out through much trial-and-error) he was exposed to a pine-based cleaning solution I used. Allergy triggers can be anywhere the kitteh is.
I'm not a vet, just a long-term kitteh parent who's seen several similar issues - of course you should always take a vet's advice first, but it doesn't hurt to gather information and be prepared with questions when you do see the vet!
helpfully,
Bright