Carlson signed with the Jets' 53-man roster Monday, Aaron Wilson of KPRC 2 Houston reports.
Carlson made both of his field-goal attempts and all three of his PAT attempts in Sunday's 28-27 loss to the Colts.
Carlson was elevated from the practice squad Saturday.
The Jets are expected to elevate Carlson from their practice squad to handle kicking duties in Sunday's game against the Colts, Rich Cimini of ESPN.com reports.
The Jets signed Carlson to their practice squad Friday.
The 49ers cut Carlson from their practice squad Tuesday, Tom Pelissero of NFL Network reports.
Carlson went 3-for-3 on field-goal attempts and 3-for-3 on extra-point tries in Sunday's 30-24 victory over Dallas.
The 49ers elevated Carlson from the practice squad to the active roster Saturday, in preparation for him to start Sunday's game against the Cowboys, Matt Barrows of The Athletic reports.
Carlson went 2-for-2 on field-goal attempts and missed his only point-after try in Sunday's 28-18 loss to the Chiefs.
Carlson was elevated to the active roster Saturday, Cam Inman of The San Jose Mercury News reports.