Rypien agreed to terms on a one-year contract with Bears on Wednesday, pending a physical, Larry Mayer of the team's official site reports.
The Jets are signing Rypien off the Seahawks' practice squad Tuesday, Josina Anderson of CBS Sports reports.
Rypien was elevated from the Seahawks' practice squad Thursday ahead of their game against the 49ers, John Boyle of the Seahawks' official site reports.
The Seahawks signed Rypien to their practice squad Friday.
The Rams waived Rypien on Tuesday, Tom Pelissero of NFL Network reports.
Rypien completed 13 of 28 passes for 130 yards and an interception in Sunday's 20-3 loss to the Packers. He also lost a fumble.
Rypien will start Sunday's game against the Packers with Matthew Stafford (thumb) inactive for the contest, Adam Schefter of ESPN reports.
Rypien completed five of his 10 passes for 42 yards with no touchdowns or interceptions in Sunday's 43-20 loss to Dallas.
Rypien will be signed to the Rams' 53-man roster from their practice squad Thursday, Tom Pelissero of NFL Network reports.
Rypien has reverted to the Rams' practice squad, per the NFL's transaction log.