Davis, who played at USC with Jets quarterback Mark Sanchez, had 24 catches for 325 yards last year before tearing his Achilles tendon. He has scored 12 touchdowns in his career, all with Washington.
He had told reporters Thursday he was planning to visit the Jets, but then opted not to visit. ESPN's Adam Schefter had reported that Davis had offers from Washington and Buffalo, the latter of which he visited Thursday.
The Jets are in the market for a tight end after starter Dustin Keller left for Miami this offseason. The Jets currently are slated to start Jeff Cumberland, a restricted free agent who was tendered. Cumberland, 25, had a career year in 2012, catching 29 passes for 359 yards and three touchdowns.
If the Jets continue to search the free-agent market for a tight end, they could be running out of serviceable options. According to ESPN's free-agency tracker, the best available tight ends -- who aren't restricted free agents -- are Dallas Clark, Kellen Winslow and Chris Cooley. Clark had the best year of the group last season, with 47 catches for 435 yards, but he's going to be 34.
SCOTT IN: Free-agent Guard Jake Scott visited the Jets on Thursday but did not sign a deal, a source confirmed. Scout.com had first reported of the visit.
Scott, 31, is an nine-year veteran who played seven games for Philadelphia last season, starting the final seven after joining the team late in the year. With the Eagles, he played under new Jets offensive coordinator Marty Mornhinweg, who served in the same role for Philadelphia last year.
The Jets could use some depth on their offensive line, as they could possibly lose starting guards in Brandon Moore and Matt Slauson. Vladimir Ducasse and recent acquisition Willie Colon are currently penciled in to be the starters, but the Jets would be wise to create competition.