The NHL-leading Ducks assigned Steckel to their AHL affiliate in Norfolk on Monday.
The Ducks acquired Steckel from Toronto last March. He scored six points in 21 games before playing in all seven post-season games.
Steckel is a faceoff specialist and a favourite of Ducks coach Bruce Boudreau, who coached him in Washington. The 10-year NHL veteran has 79 points in 418 games.
Fasth has been out since Oct. 16 with a lower-body injury. Frederik Andersen has won his first six NHL starts in his place.
Anaheim has the league's best record at 15-3-1. The Ducks open a four-game trip Tuesday at Florida.