The epic "740" area code shirt Joe Burrow wore during the NFL Draft is hitting the market ... this, after Nike initially said it wouldn't see the light of day, TMZ Sports has learned.

Remember, we reached out to the Swoosh shortly after the draft to get all the info we could about Joe's look when he went #1 overall to the Bengals.

The white long-sleeved shirt featuring the outline of Ohio and his hometown's area code quickly became a fan favorite on draft night ... but unfortunately, Nike said it was a 1-of-1.

But, that's all about to change, because we're told the plan is to release the shirts on May 22 ... which is great news for fans wanting to cop Joe's look.

It's a smart idea, considering a bunch of knockoff websites made bootleg versions to get a quick buck after the draft ... but now, the legit shirts will take over.