The Rangers added Motte on Sunday in exchange for forward Julien Gauthier and a conditional 2023 seventh-round draft pick. The pick would become a sixth-rounder if the Rangers reach the second round of the playoffs.
Motte is a bottom-six forward and strong penalty killer who has three goals and six assists in 38 games this season.
The 27-year-old had two goals in the 2022 playoffs after being acquired by the Rangers last March from Vancouver. He signed a one-year contract with the Senators less than a month before the start of the 2022-23 season.
Gauthier, 25, has six goals and three assists in 40 games this season. He had been with the Rangers since a February 2020 trade from the Carolina Hurricanes.