To make room for Quinn on the roster, the Jets released linebacker Danny Lansanah.
The Jets had no plans to activate Quinn for the opener, so they cut him Saturday to avoid having to guarantee his $715,000 salary. Quinn, who signed last Monday, still received a game check for the week, about $45,000.
The Jets weren't the only suitor vying for Quinn's services -- the San Francisco 49ers gauged his interest in signing with them, league sources told ESPN Senior NFL Insider Chris Mortensen on Monday.
The 49ers' interest was believed to be tied to the team's game Sunday night against the Seattle Seahawks, where Quinn spent much of his summer competing for the backup job that eventually went to Tarvaris Jackson when the final 53-man roster cuts were made.
Quinn's return to New York means the Jets have four quarterbacks again, although Mark Sanchez is out indefinitely with a shoulder injury apparently more serious than the team is letting on.
On Sunday, Mortensen reported that Sanchez likely has a partially torn labrum in his throwing shoulder and will visit renowned orthopedist James Andrews for a second opinion. Other media outlets have reported that Sanchez has a separated shoulder.
Sanchez, in workout garb, was throwing during pregame warm-ups Sunday -- but every throw was left-handed. After the game, coach Rex Ryan insisted that Sanchez still is day to day.
Smith went 24 of 38 for 256 yards with a touchdown, a fumble and an interception in the Jets' 18-17 win over the Tampa Bay Buccaneers. He also had 47 yards rushing, including a 10-yard last-minute scramble after which he was shoved out of bounds by linebacker Lavonte David for a penalty that set up Nick Folk's 48-yard game-winning field goal.