"It's important to stay a little mellow, you know?" Zuccarello said. "Don't get too excited, don't think ahead too much. It's been a tough series. Just focus on what you do and play the way you've been playing the whole time."
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The Stars have been playing great lately, and they'll try to end the Western Conference First Round series against the Nashville Predators by winning Game 6 at American Airlines Center on Monday (8:30 p.m. ET; CNBC, SN1, TVAS2, FS-SW, FS-TN). The Stars lead the best-of-7 series after a 5-3 win against the Predators in Game 5 at Bridgestone Arena on Saturday.
Dallas is looking to win its first playoff series since 2016, when they defeated the Minnesota Wild in six games in the Western Conference First Round.
"I think we keep getting better and we have to keep getting better," Stars coach Jim Montgomery said. "The next one is the hardest one because it has the potential to end someone's season. That's the challenge in front of us now."
The Stars have been sound defensively, allowing 11 goals in the five games. Goalie Ben Bishop is 3-2-0 with a 2.18 goals-against average and .935 save percentage.
Dallas is getting offense to go with that stingy defense. Their 209 goals were tied for the third-fewest in the NHL during the regular season, and the fewest of any team that made the Stanley Cup Playoffs. But the Stars have 16 goals in this series, tied for the fourth in the postseason.
After winning Game 4 5-1, Dallas has scored at least five goals in consecutive playoff games for the ninth time in Stars/Minnesota North Stars history, and the first time since the North Stars did it in Games 3 and 4 of the 1991 Campbell Conference Final against the Edmonton Oilers.