Slepyshev, 23, suffered an apparent lower-body injury in Thursday night's 3-2 overtime win over the New Jersey Devils. He scored a goal in the second period.
He has one goal and an assist in 10 games this season.
In a corresponding move, the Oilers recalled forward Jesse Puljujarvi from the American Hockey League's Bakersfield Condors. Puljujarvi, 19, has appeared in 10 games with Bakersfield this season, posting one goal, four assists and four penalty minutes.
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The Dallas Stars acquired defenseman Reece Scarlett from the Florida Panthers in exchange for defenseman Ludwig Bystrom, the teams announced.
Scarlett, 24, played in 13 games this season for the Springfield Thunderbirds of the AHL.
Bystrom, 23, appeared in six games during the 2017-18 season for the Texas Stars, Dallas' top development affiliate in the AHL.
Also, Dallas recalled left winger Curtis McKenzie from its AHL team.
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The Minnesota Wild reassigned goaltender Niklas Svedberg to the Iowa Wild of the AHL.
Svedberg, 28, was recalled under emergency conditions on Wednesday but did not appear in a game with Minnesota.
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The Arizona Coyotes assigned forward Michael Sislo to the Tucson Roadrunners of the AHL.
Sislo, 29, was recalled Tuesday from the AHL affiliate but did not appear in a game with the Coyotes.
(Editing by Gene Cherry)