Chelsea, Manchester United and Tottenham Hotspur have all been linked with the Poland international this summer after he expressed a desire to play in the Premier League.
There were suggestions over the weekend that Blues boss Roberto Di Matteo had a £13m bid for Lewandowski rejected by Dortmund as they strive to keep their title winning squad together.
Di Matteo is hunting for a replacement for recently departed Didier Drogba and was thought to be targeting Porto frontman Hulk and Napoli’s Edinson Cavani.
His representative representative Maik Barthel confirmed an approach had been made by the Champions League winners but conceded that the fee offered won’t be enough to convince the Bundesliga champions to sell.
“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.”
With two years left to run on his contract the German giants are hoping to persuade the talented 23-year-old to extend his stay at the Westfalenstadion and are currently in talks regarding a new deal.
United chief Sir Alex Ferguson has already raided Dortmund with the signing of midfielder Shinji Kagawa and wants to tempt Lewandowski into joining his former teammate at Old Trafford.
Ferguson has held a long-standing interest in the prolific Pole, who struck 30 times in 46 games last term, but could switch his attention to Arsenal captain Robin Van Persie.