Ben White has returned to training and is available for selection for Exeter Chiefs this weekend.
The Australian flanker has not played since the 42-28 win against Harlequins at the start of October because of a knee injury.
His absence left head coach Baxter with just three fit specialist back-rowers in the 38-man squad registered for the Heineken Cup, with James Phillips and Kai Hortsmann also injured.
Clubs are allowed to change up to two players in their squad during the pool stages of the European competition. However, Dave Ewers pulled a hamstring two weeks ago, complicating matters further.
Ahead of Saturday's return to Heineken Cup action against the Scarlets, White's return is a boost for Baxter.
"Ben White is pretty much there now, he's going to train fully this week," said Baxter. "There's an opportunity that he is available, although he is lacking in game time."
He added: "We haven't made any alterations to the squad (for Europe). The areas we were getting a little thin were in the back row and front row. We did have the possibility of adding Dave Ewers in the back row, but with him injuring his hamstring and Ben White coming fit again, plus Hoani Tui becoming fit and Craig Mitchell getting there, we're thickening out again now."