Deslauriers then turned aside 11 shots in the third period to secure the win and give the Oilers their 55th point of the season, still the lowest in the league.
Cogliano's goal staked Edmonton to a 3-1 lead but Daniel Sedin cut the advantage to one with 3:48 to play in the second period on one-timer off a nifty backhand pass from his brother, Henrik.
The Oilers jumped out to a 2-0 on first-period goals by Tom Gilbert and Robert Nilsson. Raymond's goal at 13:21 of the first period made it 2-1.
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