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Stars defenseman Karlis Skrastins also left the game, at the end of the second period, and did not return.
Grossman played two shifts in the game before leaving with the injury. This was Grossman's fifth game back from a hip injury that had sidelined him for 11 games.
Grossman has played 59 games for the Stars this season with one goal, nine assists and a plus-seven rating.
Mark Stepneski covers the Stars for ESPNDallas.com.