Steen, 25, has skated in three games with Boston this season, tallying his first goal of the year in the team's 4-3 shootout win at St. Louis on April 2.
The 5-foot-9, 199-pound forward has skated in 64 games with Providence this season, recording 14 goals and 17 assists for 31 points. Steen has appeared in 196 career AHL games with Providence, totaling 41 goals and 59 assists for 100 points.
The Karlstad, Sweden native was originally selected by Boston in the sixth round (165th overall) of the 2016 NHL Entry Draft.