The Capitals announced Monday on Twitter that Laich "underwent a successful procedure to release a tight adductor," which is part of the groin.
The team said a full recovery usually takes four to six weeks. Washington's last regular-season game is April 13.
Laich missed two of the past three games for Washington, which entered Monday ninth in the Eastern Conference, one spot out of a playoff berth.
He has eight goals and seven assists this season.
Hampered by a groin injury, Laich only played in nine games last season.
The Capitals play Tuesday at the Anaheim Ducks.