The Bayern Munich boss has suggested that the Polish striker could be on his way to the Allianz Arena next season, claiming he "won't be hanging about too much".
Lewandowski has repeatedly implied he will leave BVB at the end of the season, with Bayern reportedly leading a chase which has also included the likes of Manchester United and Juventus.
And after ensuring Dortmund's incredible run to the Champions League final ended in glorious failure, Heynckes intimated the Pole could follow Mario Gotze to the Allianz Arena.
"We know Mario Gotze will be joining us and i don't think Lewandowski will be hanging about too much either," he told reporters.
After his side's final defeat, Mats Hummels admitted the Dortmund players are aware Lewandowski wants to leave the club, and hopes they can find an able replacement.
"We know that Lewandowski wants to leave and we're sorry for this," he told Mediaset.
"When he came here three years ago he was only a less known player and we're proud and happy for him. We can only hope a new Lewandowski can arrive at Dortmund."