(Toni L. Sandys/The Washington Post)

Tight end Fred Davis can make up to $3.75 million in the 2013 season, according to the terms in his newly-signed one-year deal.

The five-year veteran re-signed with Washington on Friday after being courted seriously by the Buffalo Bills, and after also drawing interest from the New York Jets. Davis, who is still recovering from surgery to repair a ruptured left Achilles’ tendon, which he suffered in Week 7, traveled to Buffalo to visit the team at its facilities, and was scheduled to visit the Jets. But he canceled that visit and returned to Washington. The next morning, he inked a deal to remain with the team that drafted him in the second round out of Southern California in 2008.

A person with knowledge of the situation said Davis’ one-year deal has a $1 million base salary, and a signing bonus of $1.5 million, a person with knowledge of the situation confirmed. The contract also includes up to $1.25 million in incentives. The cap hit for the one-year deal is $2.5 million. The salary-cap strapped Redskins last week had just more than $3 million in cap space.

Davis last season played on a one-year franchise-player tag that paid him $5.4 million. Given his injury, he wasn’t going to receive a long-term deal from any team. Buffalo reportedly had offered him a two-year deal worth slightly more than the one-year deal Washington was offering.

But Davis had a strong desire to remain with the Redskins, who have a talented young quarterback and receiving corps in place.

By remaining in Washington on a one-year deal, Davis essentially is banking on making a healthy return and playing well enough in 2013 to earn a long-term deal in 2014.

He has confidence he can do so. He has been cleared to run, and he is expected to be cleared for full activity in June. In 2011, Davis recorded 59 catches for 796 yards (both career highs) and three touchdowns in 12 games before being suspended for the final four games for failing multiple drug tests for marijuana.

The Redskins last month re-signed restricted free agent Logan Paulsen, who filled in after  Davis’s injury, awarding him a three-year deal worth up to $7 million. The contract, which came with a $1.1 million signing bonus, pays Paulsen a base salary of $630,000 in 2013. The team also still has third-year pro Niles Paul at tight end.