The 25-year-old has notched 70 goals in his past 100 appearances for the Bundesliga side - including a headline-grabbing four against Real Madrid as Dortmund reached the Champions League final last season.
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"They are quality players, obviously I've known them for a very long time so I know what they are capable of," Szczesny told the club's official website.
"Certainly Lewandowski is one of the best you can find in Europe so he will be dangerous, but we played against them before [in 2011] and we've handled him quite well so I hope we can do that again.
"He's had a tough time with the national team but when you look at his record in the Champions League and Bundesliga last year you can see how good he is.
"He is a goalscorer and that's what makes him a good striker. He did it when he was in Poland and since he signed for Dortmund he has always been around the top goalscorers. That's what he does, it's as simple as that."