Alex DeBrincat had three goals and two assists, and the Blackhawks held on to beat the Ottawa Senators 8-7 on Monday night for their ninth win in 11 games.
The five points for the 21-year-old set a career high, and his fourth NHL hat trick gave him 32 goals in his second season..
Patrick Kane scored his 36th goal and added two assists to extend his point streak to 18 games - with 14 goals and 26 assists during the stretch- the longest by a player in the NHL this season.
Strome also had a goal and two assists in his fourth three-point game since joining the Blackhawks on Nov. 25, and Brandon Saad, Gustav Forsling and Jonathan Toews also scored to help Chicago move a point behind Minnesota for the second wild card in the Western Conference.
Colin White had two goals and an assist, Thomas Chabot scored twice, and Mark Stone, Bobby Ryan and Rudolfs Balcers also had goals for NHL-worst Ottawa, which lost for the eighth time in its last 11.
The Blackhawks led 5-4 after a wild first period loaded with defensive breakdowns and few soft goals. Both starting goalies - Chicago's Collin Delia and Ottawa's Anders Nilsson - were pulled before the end of the period.
Cam Ward got the win as he finished with 24 saves on 28 shots.
Kane has assists in 17 straight games, matching Wayne Gretzky and Paul Coffey for the third longest assist streak in league history. Only Gretzky (23 games in 1990-91) and Adam Oates (18 games in 1992-93.) have had longer such streaks.
The Blackhawks are at Detroit on Wednesday night.