Jensen recorded an assist on Nic Dowd's game-winning goal during Thursday's 3-2 win over the Hurricanes.
Jensen posted an assist in Wednesday's 5-3 win over Philadelphia.
Jensen will make his Capitals debut Sunday versus the Rangers, per coach Todd Reirden.
The Capitals inked Jensen to a four-year, $10 million contract extension Friday, Frank Seravalli of TSN.ca reports.
Jensen has been traded to the Washington Capitals for Madison Bowey and a second-round pick in the 2019 NHL Entry Draft, Darren Dreger of TSN reports.
The Red Wings are interested in re-signing Jensen, who would otherwise be an unrestricted free agent at the end of this season, Helene St. James of the Detroit Free Press reports.
Jensen finished Tuesday's 3-2 win over Nashville with two assists.
Jensen logged 20:10 of ice time in Friday's 4-2 loss to the Jets.
Jensen was quiet in Sunday's 2-0 home loss to the Avalanche, marking the second time all season that he'd be left out of the scoring, hit and blocked-shot columns in a single game.
Jensen is no lock to be a regular with the Red Wings this season, MLive.com reports.