Jenkins signed with the Patriots in March after playing each of the past two seasons for the Minnesota Vikings. He had 40 catches for 449 yards and two touchdowns last season.
Jenkins, originally a first-round pick by the Atlanta Falcons in 2004, was competing for a roster spot in New England. Danny Amendola and rookie Aaron Dobson are atop the club's depth chart at wide receiver.
Jenkins, 31, has 354 receptions for 4,427 yards and 25 TDs in his career.
In other moves involving the offensive line, the Patriots placed Tyrone Green on injured reserve and released Kevin Haslam.