Recent reports suggest that the Poland international is still attracting interest from other clubs and there are rumours that Dortmund have offered a wage increase to try and keep the 24-year-old at Signal Iduna Park.
The summer transfer window closes on September 2, but will Lewandowski still be a Dortmund player in two weeks' time?
Read on for all the latest news about the striker.
Latest update: Thursday August 22
Lewandowski—will stay at Dortmund this season.
Robert Lewandowski has put an end to rumours linking him with a move away from Borussia Dortmund after receiving a reported £3 million pay rise.
Now it appears that he will see out the final year of his contract at the Westfalenstadion, before leaving for free next summer.
The striker, who turned 25 yesterday, told Sport Bild magazine (via the Guardian):
The situation is now that I will stay in Dortmund for one more year. We have put aside all disagreements and have cleared the air.
There were mistakes made but the case is closed. I had a different starting point. I thought I was allowed to transfer. I was then disappointed and angry. But now everything is calm. I have always said I would respect my contract.
Also in the Guardian, Dortmund CEO Hans-Joachim Watzke confirmed that the Bundesliga club have awarded Lewandowski a significant wage increase, based on his performances for the club last season: "It is true that we have adapted his remunerations to his sporting contribution. We had intended for months to do that."
Last term Lewandowski scored 24 goals in 31 Bundesliga appearances. He also netted 10 strikes in 13 Champions League games, including these four goals scored in Dortmund's 4-1 semi-final victory against Real Madrid.
According to Ben Jefferson in the Express, Borussia Dortmund have tripled Robert Lewandowski's wages.
The striker has been linked with a host of clubs over the summer, ever since Dortmund nixed his move to Bayern Munich.
But German newspaper Bild (via the Express) claim that the forward's wages have been increased from £20,000 to £60,000 a week in a bid to keep him at the Westfalenstadion.
German journalist Raphael Honigstein tweeted on Sunday:
It's a sweetener for Lewandowski, to ensure he stays motivated & professional. He was only on GBP 20k per week. New deal GBP 60k.
Lewandowski & BVB have agreed a pay rise for this season. Agent confirms he's off after that. No chance of him going anywhere this summer.
The "Lewandowski going to club XYZ" game has been over since February. Only question was: Bayern this or next season.
Borussia Dortmund took on Eintracht Braunschweig on Sunday in their second game of the 2013/14 Bundesliga campaign.
It took Jurgen Klopp's team 75 minutes to break the deadlock, when substitute Jonas Hofmann came off the bench to score his side's first goal.
Four minutes from time, the home side doubled their advantage when Hofmann won a penalty which was converted by Marco Reus.
Braunschweig pulled a goal back in the 89th minute when a corner was deflected into Dortmund's net by Lewandowski.
Dortmund are now top of the Bundesliga after winning their first two games of the new season.
Wayne Rooney and new Manchester United manager David Moyes.
However, according to the Mirror's Alan Nixon, the Blues will shift their attention to Lewandowski if they fail to sign the England international.
By Nixon's reckoning, Dortmund would sell their star striker for £40 million.
Lewandowski has one year remaining on his current contract. If he runs it down and leaves next summer, the Champions League finalists will have to face letting him go for free.
In an interview with German newspaper Bild, Borussia Dortmund CEO Hans-Joachim Watzke has spoken of Lewandowski's "legitimate" wish to join Bayern Munich.
The quote, which was featured on Dortmund's official website, said:
Robert's wish to join Bayern this summer was legitimate. It was also clear that he would be disappointed at first because we won't let him go. I recently sat down with him, his agents and our sporting director Michael Zorc to talk about the situation, as is right and proper.
This follows statements that came out of the Lewandowski camp last month, in which the 24-year-old said he felt "cheated" by the Dortmund hierarchy.