Steen, 25, has skated in two 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.
He has skated in 63 games with Providence this season, recording 14 goals and 17 assists for 31 points. The 5-foot-9, 199-pound forward has appeared in 195 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.