Bawden signed to a reserve/future contract with the Jets on Tuesday, Ethan Greenberg of the team's official website reports.
Bawden was elevated to the Jets' active roster Saturday.
Bawden caught his lone target for eight yards in Thursday's 37-20 loss to the Browns.
Bawden reverted to New York's practice squad Monday, per the NFL's transaction log.
The Jets elevated Bawden to their active roster Saturday, Ethan Greenberg of the team's official site reports.
The Jets signed Bawden to their practice squad Friday, Billy Riccette of USA Today reports.
Bawden rushed once for three yards and wasn't targeted in Sunday's 30-6 win over the Texans.
Bawden caught his lone target for six yards in Friday's 34-13 loss to the Dolphins.
Bawden caught his only target for seven yards in Monday's 27-6 loss to the Chargers.
Bawden (calf) is active for Sunday's matchup against the Eagles.