Draisaitl has five goals in his past six games after failing to score in his previous seven.
"I feel a little better (about my game)," he said. "I'm obviously frustrated with I'm not hitting the spots that I know that I would like to hit. That's just way it goes sometimes. Sometimes they go in, other times they don't. I just got to continue to pick spots and fire away."
Mattias Janmark had a goal and an assist, and Zach Hyman had two assists for Edmonton (24-18-3), which has won three in a row. Jack Campbell made 27 saves after also playing in their 7-1 win at the San Jose Sharks on Friday.
"It was a really competitive, entertaining hockey game," Oilers coach Jay Woodcroft said. "There were some moments we'd like to have back on the defensive side. For the most part, we controlled most of that game. … We got contributions from all of our 11 forwards. I thought the seven (defensemen), in different ways, affected the game tonight. I thought it was a mindset that's going through our group."
Keegan Kolesar, Paul Cotter and William Karlsson scored for Vegas (28-14-2), which is 5-7-2 against the Pacific Division this season. Logan Thompson made 33 saves.
"We will emphasize it more clearly (about divisional games)," Golden Knights coach Bruce Cassidy said. "We might not know the place in the standings of every team, most players don't, but understanding the value of divisional points and coming out ready to play is disappointing. I'll put it on me to make more of an emphasis."