Vegas went a combined 0-for-17 in three straight shootouts to end the year.
The Golden Knights must win out and need Dallas to lose twice in regulation.
San Jose tied the game to force overtime with 0.9 seconds left in regulation.
Vegas turned the game around with two goals in 49 seconds early in the third period.
The Golden Knights have been shut out seven times this season.
Logan Thompson stopped 35 shots to help Vegas secure the two points.
The Golden Knights have won six of their last seven games.
Shea Theodore scored 2:05 into extra time to lift Vegas to its fifth straight win.
The Golden Knights are now 4-0-0 all-time against Seattle.
The man who could not be traded saved the season with his fifth goal in four games.
The Knights have won back-to-back games after dropping five straight.
However, Jack Eichel sustained an upper-body injury and did not return.
Vegas finished up its five-game road trip with a deafening 0-5-0 record.
A strong second period wasn’t enough to help the Knights end the skid.
Vegas has been held to four goals in its last three games.
Eichel ripped home game-winner with 5.2 seconds remaining.
Nicolas Roy recorded the first two-goal game of his career in a big win for Vegas.
The Knights are tied for third in the Pacific with 64 points in 55 games.
The Knights secure their 11th straight win against San Jose.
The Knights are now three points behind the second-place Kings in the Pacific.
Thompson earned his first career win, while Eichel scored his first goal with Vegas.
Vegas is now 2-2-1 in February and 6-6-4 in 2022.