Oleksiak, a 26-year-old defenseman, returns to Dallas, which selected him with the No. 14 pick in the 2011 NHL Draft before trading him to Pittsburgh for a conditional fourth-round pick in the 2019 draft on Dec. 19, 2017. That draft pick was returned to the Penguins on Monday.
"Our blueline has been depleted by injury all season and acquiring Jamie will give us depth at defense," Stars general manager Jim Nill said. "We know him very well and we're excited to have him back in the fold."
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Stars defenseman Marc Methot underwent season-ending knee surgery on Monday. The 33-year-old played nine games this season and did not record a point.
Oleksiak has 11 points (four goals, seven assists) in 36 games while averaging 15:52 of ice time this season. In 223 NHL games, he has 47 points (15 goals, 32 assists).
The Penguins (26-16-6) hold the second wild card into the Stanley Cup Playoffs from the Eastern Conference. They play the New Jersey Devils at PPG Paints Arena on Monday (7 p.m. ET; SN, ATTSN-PT, MSG+, NHL.TV).
The Stars (24-21-4) hold the first wild card into the Stanley Cup Playoffs from the Western Conference. They play the Buffalo Sabres at American Airlines Arena on Wednesday (8:30 p.m. ET; FS-SW+, MSG-B, NHL.TV).