Gomes was outrighted to Triple-A Durham on Wednesday.
The 31-year-old made 62 appearances for Tampa Bay last season, posting a 1.19 WHIP and a swinging-strike rate over 11 percent, but it was not enough to maintain his spot at last week's Rule 5 roster deadline. Gomes could still attend spring training as a non-roster invitee, but he figures to have to bide his time at Durham to start the year.