Soucy notched an assist, three shots on goal, two hits and two PIM in Tuesday's 3-2 overtime loss to the Wild.
Soucy will be eligible to face Edmonton in Game 5 on Thursday after serving his one-game suspension.
Soucy was suspended for one game by the NHL Department of Player Safety on Monday for cross-checking Edmonton's Connor McDavid in Sunday's Game 3.
Soucy will have a hearing with the NHL Department of Player Safety for cross-checking Edmonton's Connor McDavid on Sunday.
Soucy collected two assists in Wednesday's 5-4 victory over Edmonton in Game 1.
Soucy (hand) will be in action versus the Kings on Tuesday, Harman Dayal of The Athletic reports.
Soucy (hand) was moved to long-term injured reserve Wednesday.
Soucy (hand) was placed on injured reserve Monday.
Soucy (hand) will be out for five-to-six weeks, according to Brendan Batchelor of Sportsnet 650.
Soucy missed the third period against Toronto on Saturday and could be out of action for 3-4 weeks due to a hand injury, The Providence reports.