The former Mainz coach has admitted that his side were troubled by the Bavarians, but feels that their performance warranted three points
A double from Robert Lewandowski, along with a strike from Marco Reus, allowed the Bundesliga champions to claim a convincing victory at the SGL Arena, where they drew last year.
"This was a very tough job for us," he told reporters after the match.
"In the first half, we created one real goalscoring chance, we were not decisive enough and we were pressing less than our opponents. It was a very close game, and [Roman] Weidenfeller responded brilliantly to their chances.
"During the second half, we were more compact, won all the 50-50s and forced two goals. Then we finally controlled the match. Augusburg made a game of it, but victory was deserved."
Meanwhile, Lewandowski admitted his side were made to work hard for the win, but was delighted that his side eventually prevailed.
"It was a difficult game, but we ended up with three points, which is the most important thing. And of course I'm happy that I scored twice," he commented.
"We had many problems with Augsburg in the first half, but the second period went better. The three points are really, really important."
Borussia Dortmund are now fourth in the Bundesliga, a full 11 points behind runaway leaders Bayern Munich.