The Cowboys are in need of replacing defensive end DeMarcus Ware, who was released on Tuesday in a salary cap move. Ware visited the Denver Broncos Tuesday night and has several other playoff contending teams interested in him.
Ayers, a five-year veteran with the Broncos, picked up a career-high 5.5 sacks last season along with 29 total tackles.
A former first-round pick out of Tennessee, Ayers started in 27 of a possible 72 games for the Broncos, including three last season. The Cowboys can upgrade the defensive line by signing Ayers to become the starting right defensive end, Ware's side, or getting another player in the NFL draft.
The Cowboys are not expected to be major players in free agency and will only make a move if it makes sense financially. At the start of free agency on Tuesday, the Cowboys had roughly $1.1 million in cap space. But after Ware was cut, the team has nearly $9 million in space Wednesday.