The Jets signed Carlson to a reserve/future contract Tuesday.
The Jets waived Carlson on Monday, Rich Cimini of ESPN.com reports.
Carlson (coach's decision) is inactive for Sunday's matchup with the Bills.
Carlson went 1-for-2 on field-goal attempts and missed his lone extra-point attempt during the Jets' 19-9 loss to the Rams on Sunday.
Carlson made one of two field-goal attempts and all three PAT tries in Sunday's 32-25 win over the Jaguars.
Carlson made all four of his field-goal attempts and both PAT tries in Sunday's 32-26 overtime loss to the Dolphins.
Carlson didn't attempt a field goal and made one of two PAT attempts in Sunday's 26-21 loss to the Seahawks.
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.