One more loss from losing the best-of-7 series, the Stars are eager get back to work in Game 5 in Edmonton on Saturday (8 p.m. ET; NBC, CBC, SN, TVAS).
"We've got more," Stars center Tyler Seguin said. "We would've won if we would've gotten everything out of everybody, I think. We've got a quick turnaround. I believe in this team, believe in the boys. We have another level here, so the quick turnaround is going to be nice."
RELATED: [Complete Stanley Cup Final coverage]
The Stars built leads of 2-0 and 3-2 in Game 4 but couldn't protect them and needed Joe Pavelski's second goal of the game with 8:25 left in the third period to cause overtime. However, after Dallas failed to score on a power play 37 seconds into overtime -- 55 seconds a 4-on-3 -- Kevin Shattenkirk scored on the Lightning's opportunity with the man-advantage at 6:34 to move them within one win of the Stanley Cup.
Teams that lose Game 4 to fall behind 3-1 in a best-of-7 Cup Final are 0-27 winning the series (since 1939).
With little time to rest, the Stars are focused solely on winning Saturday to make Game 6 necessary Monday.
"Yeah, get right back at it tomorrow," Dallas forward Corey Perry said. "We did a lot of good things. Unfortunately, we didn't do enough, but right back at it tomorrow and see where it goes."
Although the Stars have lost three straight after winning Game 1 4-1, they believe there are some positives to build on, including some new line combinations that provided a spark in the offense.
Pavelski, who replaced Seguin on the top line between Jamie Benn and Alexander Radulov, scored two goals to give him 12 in the Stanley Cup Playoffs, one behind Lightning forward Brayden Point for the NHL lead. Seguin, who was shifted to center a line with Joel Kiviranta and Perry, had two assists after being limited to one in his previous 12 games.