Connor McDavid had a goal and an assist to become the first NHL player to 40 points (14 goals, 26 assists) this season.
"I don't care if it's a shutout," Smith said. "I don't care how many goals there are. I want to win. Shutouts are hard to get, especially now with how many power plays there are, but it's not just a credit to the goalie, it's a credit to the team in front of him and what they do."
Alex Chiasson and Jesse Puljujarvi each scored a power-play goal for Edmonton (14-8-0), which swept two games here and has won has won five in a row and eight of nine. The Oilers have won six straight on the road, the longest streak in the NHL this season.
"I like the strides we're taking," Edmonton coach Dave Tippett said. "Smitty's come in and our goaltending has given us a real boost."