Instead, the Japan international insists Dortmund need to keep looking ahead, especially with this season's Bundesliga title race looking set to go down to the wire.
Following the weekend's matches, Dortmund are still second in the table, level on points with leaders Bayern Munich and third-placed Schalke, while Borussia Monchengladbach remain a point behind in fourth.
And Kagawa is hoping BVB will be able to continue playing at the top of their game in over the upcoming weeks.
"I think mentally and physically we were at full capacity," Kagawa said. "But we absolutely have to keep this form up.
"We're satisfied with how we played in this match, but we can't dwell on it.
"There's pressure on us to build on each result heading into the following match, and that's a positive thing."
Kagawa netted twice in Saturday's victory, the first after a mazy dribble and clever finish, and the 22-year-old insists he is always eager to prove his worth.
"Of course when I had so many chances and didn't score, it felt like things wouldn't go so well," Kagawa added. "But I'm happy that I was able to score despite that sort of situation.
"We had a two-on-one advantage [for my opening goal] so it might have been better if I'd passed the ball. But in my head I knew I wanted to be involved in a goal today [Saturday].
"I think that by setting up the dribble and converting the chance I was able to display my quality."
Kagawa has now scored six goals and laid on five assists in 17 Bundesliga matches so far this season.