Mike Green scored and Jonathan Bernier made 35 saves for the Red Wings (3-5-0), who were outscored 12-3 in a three-game Western Canada road trip.
"In the end, we haven't scored enough, that's for sure," Detroit coach Jeff Blashill said. "Here's what I liked though: We got down 2-0, we talked about not melting when we were down 2-0, we kept digging and we found way to make 2-1. And then I thought we had the better of the chances in the third period. We had a couple of shifts where we got stuck in our end a little bit, but I thought, overall, we had the better of the chances, and we gave ourselves a chance to win the hockey game."
Neal scored on the rebound of Chiasson's deflection of a Nurse point shot to give the Oilers a 1-0 lead at 7:39 of the second.
Green scored with a wrist shot from the high slot at 16:37 to make it 2-1.