The Poland international has admitted he is keen to play in the Premier League, and he has been linked with moves to Chelsea and Manchester United.
Reports over the weekend claimed that Chelsea had seen a £13m offer for Lewandowski rejected by Dortmund, who are determined to keep hold of the forward.
Dortmund are also in talks to extend Lewandowski's contract, which has two years left to run, and say talk of a move to England this summer is just a 'dream'.
Lewandowski's representative Maik Barthel does not want to get dragged into the speculation, but conceded the figures being quoted are well short of the player's value.
"Unofficially there are offers from top English clubs," Barthel told Goal.com.
"We respect the contract situation in Dortmund and don't want to take part in speculation.
"A £13million transfer fee is not suitable."