The Gunners have past amounts of money to spend and the striker would be an ideal target.
The Poland international has been linked with an exit in recent weeks, and in comments last week suggested he would be open to a move to the Premier League.
And should he look to leave Bavaria, the Gunners would put themselves among the numerous sides who would likely be keen on his signature.
The German giants would be less than keen to lose their star centre forward though, and would place a £50million price tag on his head to ward off any suitors.
Fortunately that would not deter Arsene Wenger’s side, who the Mirror report will have in excess of £150million to spend this summer, as a result of the new TV deal.
Both fans and pundits alike have long said that the side is in need of a world-class centre forward if they are to challenge for honours in future.
Lewandowski is certainly in that bracket, and Gunners fans will be hoping that there is some substance to these rumours after a disappointing year for them.