Tim Stapleton's tally with 2:23 left in overtime allowed Winnipeg to complete a comeback from three goals down and beat Washington, 4-3, at Verizon Center.
Stapleton beat Michal Neuvirth with a high, quick wrister from the left circle to cap the rally from a 3-0 second-period deficit.
Bryan Little and Ben Maxwell also scored for the Jets, who snapped a two-game slide and crept within four points of the final playoff spot in the Eastern Conference.
Ondrej Pavelec needed to make just 20 stops for the win.
Alex Ovechkin tallied twice for the Capitals, who have dropped four of five and fell into a tie for eighth place in the Eastern with Buffalo, which topped the Rangers.
Neuvirth ended with 38 saves in defeat.