In making the move on Tuesday, the Giants said wide receiver David Sills had been signed off the practice squad and tackle Nate Wozniak was signed to the practice squad.
Engram missed the previous five games with a foot injury. He finished the season with 44 catches for 467 yards and three touchdowns, including a 75-yarder against Tampa Bay in the third week of the season.
A first-round pick in 2017, Engram has not played a complete season. He was limited to 15 games as a rookie, 11 last season and eight this year. When healthy, he can run as well as any tight end in the league.
Engram has caught 153 passes for 1,766 yards and 12 touchdowns in his career.