"You have to go on a run here eventually," Nill said. "We've been win one, lose one, win two, lose one -- eventually, you have to go on a run where you win three, four, five games in a row if you're going to get back in it."
Injuries to players including Oduya, Sharp, Jason Spezza, Ales Hemsky and Cody Eakin haven't helped, either.
"We've been decimated by injuries again," Nill said. "We haven't had our full team all year. So it's been tough to get a handle on things. But in the end, the excuses don't matter. You've still got to find ways to win games."
The Stars visit the Winnipeg Jets on Tuesday (8 p.m. ET; TSN3, FS-SW, NHL.TV).
"We're living game by game here, we know that," Nill said.