Chelsea want the Poland international to replace Alvaro Morata, who is keen to return to Italy after a difficult first season in the Premier League, according to Bruce Archer at the Daily Express.
Lewandowski is widely considered to be one of the most prolific strikers in Europe. He has enjoyed another impressive campaign and finished as the Bundesliga's top scorer with 29 goals:
However, there have been plenty of rumours over his future this season, with Real Madrid heavily linked. Bayern Munich chief executive officer Karl-Heinz Rummenigge has responded to the speculation, per Muenchner Merkur (h/t Chris Burton at Goal).
"Robert behaves completely loyal. And we don't know who sets these rumours up," he said. "And it doesn't matter at all. Recently we had two lunches with Real Madrid's bosses and we haven’t spoken a single word about Lewandowski."
Lewandowski has come in for criticism for his performances in the UEFA Champions League. Squawka Football showed how he's struggled to score in Europe:
The striker is also said to be unhappy that he has not been playing enough at Bayern Munich this season, according to ESPN FC's Stephan Uersfeld.
Chelsea have met with Lewandowski's agents, but a deal looks unlikely, according to football journalist Diego Martinez:
Lewandowski would be a significant upgrade on Morata, who only joined the club from Real Madrid in summer 2017 but has endured a mixed season. He scored 11 Premier League goals but is not a regular in the starting lineup under manager Antonio Conte.
Yet Juventus chief executive officer Giuseppe Marotta has poured doubt on Morata returning to Juventus, as shown by Italian football writer Adam Digby:
Ruminegge has also seemed adamant that Lewandowski will be going nowhere this season, per Bundesliga.
"There's no need to worry about Lewandowski's relationship with Bayern," he said. "It's a very good one. We know what we have in Robert Lewandowski, I'm very happy he's still on a long-term contract. It doesn't need to be given any thought. He'll be a Bayern player next season."
Bayern Munich rarely allow their key players to leave against their wishes and have shown they can't be easily bullied in the transfer market. The club have made their stance over Lewandowski clear, which means it would be difficult to prise him away from the Bundesliga champions.