Tennyson (upper body) was released to unconditional waivers by the Devils on Sunday, Elliotte Friedman of Sportsnet reports.
Tennyson was placed on injured reserve Thursday due to an upper-body injury.
Tennyson blocked four shots in a team-low 11:27 of ice time in Thursday's 5-2 loss to Calgary.
Tennyson dished out a pair of helpers in Thursday's 5-2 win over the Rangers.
The Devils summoned Tennyson from the AHL ranks Friday.
Tennyson was waived by the Devils for the purpose of reassignment Monday, Stephen Whyno of the Associated Press reports.
Tennyson secured a two-year, two-way deal with New Jersey on Monday, Amanda Stein of the Devils' official site reports.
Tennyson was reassigned to AHL Rochester on Saturday.
Tennyson was sent down to AHL Rochester on Sunday.
Tennyson has been called up from Rochester of the AHL.