Second-half goals from Robert Lewandowski and Marco Reus were enough to cancel out Ivica Olic's 34th-minute opener, leaving Klopp's men three points clear of bitter rivals Schalke in the fight for second place.
The win ensured Dortmund ended a difficult week on a high after suffering a 3-0 defeat at the hands of Real Madrid in the UEFA Champions League quarter-final first leg in midweek.
Klopp told the Bundesliga's official website: "It was a big three points today. We showed a really good mentality to win it after a Champions League game."
The 46-year old was particularly pleased with the contribution of Poland striker Lewandowski, who was on hand to restore parity for the home side six minutes into the second half.
He added: "Robert has developed so much, but other players can and will do that at this club."
"We ask a lot of Kevin Grosskreutz, playing in so many positions, but (he) was much better as the game went on," Klopp added.
