The Stars defeated the Detroit Red Wings 5-1 on Saturday in the team's first game since Lites' comments, with Seguin and Benn combining for one assist.
Dallas (20-16-3) is 4-2-0 in its past six games. It holds the second wild card into the Stanley Cup Playoffs from the Western Conference and is two points behind the Colorado Avalanche for third place in the Central Division.
"Anytime you get a win it helps," Nill said. "We've actually been playing some pretty good hockey. I know the last couple of days everything that took place, but overall a good win for us. We're playing the right way. We've had a good homestand here and we have to continue on it."
Nill said he has met with both Benn and Seguin to discuss Lites' comments.
"I just went down and talked to Tyler and Jamie. I said we're going to close the door today, no more talking after today," Nill said. "They know they have to be better. I know there's going to be stretches where they're going to struggle, but you have to play the right way and do the right thing and we're going to get through this and they know that. Unfortunately, it came out this way but in the end, they're our leaders, they're going to lead our team. It's not all on them. From management to coaches to players, we all have to get better and we're going to get through this, but they are the leaders of the team and there's a responsibility and accountability that goes with that."
Asked whether he would be open to making a trade ahead of the Feb. 25 NHL Trade Deadline, Nill said he is constantly looking at ways to improve the team, but avoided mentioning any players specifically.
"I think everybody is always open to that. We talk daily as general managers so you're always looking to do things," Nill said. "Now, it's not easy to do. First of all, from player to player, it has to make sense asset-wise and then the cap comes into play long term and short term. You're always open to things. It will be interesting to see moving forward as we get closer to the trade deadline where things go, but my job is to try to make the team as good as I can all the time and that's what we're looking at doing."
Also Sunday, the NHL Players' Association released a statement regarding Lites' comments.
"The comments Jim Lites made regarding Tyler and Jamie are both reckless and insulting," the statement said. "If players directed such comments towards management, how would those be regarded? To say that Jim Lites' conduct is unprofessional would be a gross understatement. In professional sports, all individual players and teams go through highs and lows, but this is not how professionals handle adversity."