The Senators have picked up seven points in their last four games, but they are six points back of the second wild-card berth in the Eastern Conference with eight games remaining.
"We'll have to continue to play hard in those games and I'll like where we'll be at the 82-game mark," Senators coach Paul MacLean said. "I might be dreaming but that's what I believe."
Jared Cowen gave Ottawa a lift with a tiebreaking goal on a wrist shot 1:12 into the third period, and Clarke MacArthur made it 5-3 with a tip-in at 12:22. Turris then scored his 25th goal into an empty net.
"In the third we continued to play our game and we were smarter and made better decisions," said Turris, who also had an assist.
"We put the puck deep when we were up by one or two and we played our game the whole way through, we just made smarter decisions in the third."
Robin Lehner made 37 saves as the Senators (31-29-14) won back-to-back games on home ice for the first time since they won three straight in late December and early January.