Tom Brady took the field for drills with his Buccaneers teammates for the first time (at least publicly) Tuesday ... and it's weird as hell seeing the guy in a bright orange uni!!

Check out a pic of the new TB QB during the workout -- which took place at Berkeley Preparatory School in Tampa, FL -- he was the only one in shoulder pads and an orange jersey.

Brady also rocked his new Bucs helmet during the sesh ... and according to the Tampa Bay Times -- the 7 AM ET workout featured around eight of the QB's new teammates.

The drills lasted for about two hours, the Times reported ... and concluded with some convos in the stands.

And, no, Brady and the Bucs didn't violate any NFL rules ... the league said in a statement to NFL Network's Tom Pelissero the workout is all good in their books.

Of course, that's a welcoming feeling for Tom -- remember, he was booted from a closed park for working out there just a few weeks ago!

Tom's been able to switch things up ... getting some runs in at his rented Tampa mansion -- but with Florida lifting stay-at-home orders recently, seems Tom's in the clear to throw with teammates now.