Bjugstad tied it 1-1 at 4:15.
Mattias Janmark responded for the Oilers to make it 2-1 at 6:07. Brett Kulak's shot from the left point deflected in off him as he fought for position in front with J.J. Moser.
Keller tied it 2-2 at 2:53 of the second period, burying a one-timer from the right circle off a quick return pass from Nick Schmaltz on the power play.
Bjugstad gave Arizona a 3-2 lead at 10:52, receiving a stretch pass from Keller and scoring blocker side with a wrist shot from the right circle.
“We played an elite team [with] a tough schedule, and we broke down for five minutes and we cannot stop the bleeding. Three scoring chances and three goals right there,” Coyotes coach Andre Tourigny said. “It’s not on our goalie. They’re a tough team to play against.”
NOTES: McDavid has 12 assists in his past four games but hasn't scored in his past six. … Draisaitl has eight points (three goals, five assists) during a four-game point streak. … Janmark's goal was his second in 41 games this season. ... Edmonton has won seven straight against Arizona. Its last loss came on Feb. 4, 2020. … The Oilers are 10-for-20 on the penalty kill in their past six games. … Coyotes forwards Dylan Guenther and Logan Cooley played with Keller on the top line for the first time.