The midfielder says that a move to Signal Iduna Park would be an interesting option, but Bayer Leverkusen have not given up hopes of signing him yet either
The Bundesliga giants are keen to add some fresh blood to their squad ahead of next season due to the imminent departure of Mario Gotze to Bayern Munich and the Belgium international is one of the candidates to take his place.
"Dortmund? That would fit me. I am keeping tabs on what they have been doing," De Bruyne told Bild.
"They have performed admirably in the Champions League, just like Bayern. We will see what happens.
"I will be on the road with Belgium's national team after this season. Perhaps we will know by then where my future lies."
Dortmund face stiff competition in the race for the 21-year-old's signature, though, as Bayer Leverkusen are keen to lure him to the BayArena instead.
"We have spoken to De Bruyne as well. He seemed to be open to a move. But in the end Chelsea and their new manager decide what's going to happen," club chairman Wolfgang Holzhauser said.
B04 are hopeful that De Bruyne will move to Leverkusen as part of the deal that will see Andre Schurrle move in the other direction.
The 22-year-old Germany international has reportedly already agreed terms in principle with Chelsea, but both clubs are yet to agree a transfer fee.