Edmonton forwards Connor McDavid and Leon Draisaitl each had his point streak end at 10 games.
"Obviously, Connor and Leon take a big chunk of [the offense]," Tippett said. "But we can have secondary scoring, whether it's the other two [forward] lines or our [defensemen]. That's a huge help."
The Oilers swept the back-to-back with the Senators, also winning 2-1 on Monday. Edmonton is 4-0-0 against Ottawa this season.
"It's tough," Barrie said when asked how difficult it is to win against the same team four times in a row. "They played us hard, really hard the last two games. They're obviously a good, hard-working, young team. They beat [the Montreal Candiens on Thursday], so anybody can beat anybody."
Evgenii Dadonov and Connor Brown scored for the Senators (2-11-1), who have lost 12 of their past 13 games (1-11-1). Matt Murray had an assist and made nine saves in relief of Marcus Hogberg, who was pulled after allowing the third goal.
"I thought right from the get-go we were jumping," Ottawa coach D.J. Smith said. "I thought in the third period we had a great push. I thought we were probably the better team all the way through the night."