The Germany midfielder believes the Bundesliga winners can be serious challengers in Europe, while also saying he would be willing to take more responsibility on free kicks.
Ozil scored an 89th-minute equalizer at Estadio Santiago Bernabeu on Tuesday to deny Jurgen Klopp's team a famous second victory in a row over the current La Liga title holders.
"Of course [Borussia] Dortmund can win the Champions League," he explained to Bild. "Those who can win the German Championship two times in a row, can win the Champions League any time. We have seen twice that Dortmund are a really good team."
The Germany midfielder's late strike from a free kick has seen many question whether he should take more responsibility at dead ball situations as opposed to Cristiano Ronaldo, but he believes there are several players capable of producing the goods from distance.
"We have really good free-kick takers, and it also depends on the position. You need to have surprises for the opponent," Ozil said. "But whenever I have a good feeling and the position suits me, of course I will shoot again."
The former Schalke player's goal meant that Jose Mourinho's team remain second in Group D, and he was eager to stress the importance of his first goal of the campaign.
"It was an extremely important goal for Real Madrid. For the club, the fans, for the team. I immediately said that I will dedicate the goal to Real's fans," Ozil added. "This goal means a lot to me, because it showed me that everything is possible if you believe in your chance until the end of the match.
"We had so many good chances and a regular goal [by Jose Callejon] was not given. But we proved we have high morale anyway and fought until the last minute."