"I will be able to sign a contract [with any club] in January, but I have never said that I will sign a contract with Bayern," Lewandowski said. "It was a misunderstanding. It is true I had an opportunity to speak with Sir Alex Ferguson [last year], but we didn't mention the transfer.
"One day I would like to play in Premier League. It would be a great experience."
United's interest in Lewandowski has waned since Ferguson was replaced by David Moyes as manager at the end of last season, while City's interest did not progress following an inquiry to Dortmund about his availability this summer.
Bayern's long-term pursuit of the player is expected to result in Lewandowski moving to the Allianz Arena at the end of this season, but his contract may persuade Dortmund to sell in January to avoid losing him for nothing to Bayern next summer.
Lewandowski admits, however, that he rejected the chance to move to England three years ago when Sam Allardyce attempted to secure a deal with Lech Poznan for a 3 million transfer to Blackburn.
"There was a proposal from Blackburn," Lewandowski said. "I even spoke with the former manager [Allardyce].
"In the end, I decided that Dortmund gave me a better chance of development as a footballer."
Despite ending England's World Cup hopes in 1973 with a 1-1 draw in London, Poland have since lost on their last seven visits to Wembley.
And with Friday's 1-0 defeat by Ukraine ending Polish hopes of qualification, the team arrive in the country with little to play for. Lewandowski says that England's strength makes them favourites for victory.
"We know all about this England team and the whole team is very dangerous."
