The Polish striker scored twice and took his league-leading tally to 25 with the winning goal in the 88th minute, set up like his previous goal by Serge Gnabry, who scored the opener in the 25th.
Bayern Munich came from behind to beat Hoffenheim 4-3 on Wednesday and reach the quarter-finals of the German Cup.
Bayern Munich said Friday the Polish forward will have the operation shortly after the team's league game against Wolfsburg on Saturday.
Lewandowski had extended a contract at Bayern until June 2023 before the 2019/2020 season
Robert Lewandowski scored four goals in 15 minutes as Bayern Munich cruised to a 6-0 win to win the group in the Champions League.
Robert Lewandowski stretched his Bundesliga record by scoring in each of the opening 11 games this season as Dortmund suffered another heavy defeat to Bayern.
Robert Lewandowski became the first player in the league to score in each of the opening nine games as Bayern Munich went top with a 2-1 win over Union Berlin.
Kingsley Coman, Robert Lewandowski and Thomas Muller scored for Bayern Munich as they made light work of Red Star Belgrade in their Champions League opener.
Bayern Munich striker Robert Lewandowski has committed his future with the German champions till June 2023.
Lewandowski, who joined Bayern from league rival Borussia Dortmund in 2014, has started the season with five goals in two Bundesliga games, making him the only Bayern player to have scored in the league so far.
Robert Lewandowski, Kingsley Coman and Leon Goretzka scored for Bayern Munich in their win over Energie Cottbus.
Robert Lewandowski scored twice and Kingsley Coman grabbed the other as Bayern claimed a record-extending 19th cup win.
Dortmund, which had a four-point lead, moved seven points clear of Bayern and stayed four clear of second-placed Borussia Moenchengladbach, which defeated Werder Bremen 3-1 away.
Brazilian-born midfielder Jorginho converted the spot-kick after substitute Federico Chiesa earned the late penalty for Italy.
Both teams were disappointing in their opening games. Colombia, down to 10 men, was upset 2-1 by Japan and Poland lost to Senegal by the same score in Group H.
Senegal are making their comeback to the World Cup after 2002, while Poland are in Russia after failing to qualify for the 2010 and 2014 editions.
Poland are preparing for their first World Cup appearance since 2006, meaning Lewandowski and Szczesny will be making their debuts.
Lewandowski has scored 106 goals in 126 Bundesliga games for Bayern since switching from league rival Borussia Dortmund in 2014. He helped the team win the league each year, chipping in 29 goals this season.
Bayern Munich end their season with the league title only as Frankfurt astonished the Bundesliga champions 3-1 to win the German Cup final at Berlin.
Lewandowski polished off the win with two late goals to give Bayern a seemingly insurmountable five-goal cushion ahead of the second leg of the last-16 tie in Istanbul on March 14.
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