The Senators went on a 4-on-3 power play in the extra frame when Buffalo's Christian Ehrhoff was whistled for interference, and Turris made the Sabres pay when he one-timed a pass from Daniel Alfredsson under the crossbar.
The tally was the second of the game for Turris, who also picked up an assist for Ottawa -- which won for only the second time in March.
Ben Bishop turned aside 33-of-36 shots, Patrick Wiercioch had a goal and an assist and Chris Phillips scored a goal for the Senators.
Ukrainian protestors topple Lenin statue [VIDEO]
Reindeer recovered after escaping from Santa during lighting ceremony