McCown, 37, met with the Jets for a second straight day Saturday.
In five games (three starts) with the Cleveland Browns last season, he completed 54.5 percent of his passes for 1,100 yards, six touchdowns, and six interceptions.
Though he would be a tremendously unsexy signing, the Jets could view the veteran as a stabilizing force who could bridge the gap to a rookie passer.
That's apparently not how the team feels about free-agent passer Colin Kaepernick, a player the Jets have no interest in, a team source told Vacchiano.
Jay Cutler is reportedly on the Jets' radar as a potential option if McCown isn't signed, but he has yet to have a formal meeting with the team.