Champions Bayern dug deep for their 29th league victory in 34 matches as Franck Ribery scored twice, then set up Arjen Robben for the winner after Borussia Moenchengladbach had scored three goals in the opening 10 minutes.
Lewandowski has a contract with Borussia until June 2014, but after he turned down an extension, Dortmund set a deadline for prospective offers, which passed on Wednesday. Coach Jurgen Klopp has said that "as of now" he expects Lewandowski will be in his squad for next season.
It was Bayern's first trophy success since May 2010 as rivals Borussia Dortmund dominated the league for the next two seasons.
The 30-year-old joined Bayern in July 2007 from Marseille and has scored 51 goals, with 74 assists, in his 154 league games for the Bavarians to become a fans favourite at the Allianz Arena.
Lahm insists Bayern have learnt the lessons from losing last year's final by sweeping aside all Bundesliga rivals, winning 26 of their 30 games to date, and they are now closing in on a third Champions League final in four years.
Bayern paid Stuttgart 30 million euros for Gomez in 2009 and his market value is around 35 million euros ($US45.89m) having scored 71 goals in 109 Bundesliga appearances for Munich.
After Wednesday's Champions League quarter-final, Bayern host Wolfsburg in the last four of the German Cup on Tuesday April 16 with a place in the Berlin final on June 1 up for grabs.
Bolt, who defended his 100m and 200m Olympic titles at London 2012, is occasionally in Munich to see renown sports doctor Hans-Wilhelm Mueller-Wohlfahrt, who also works with the Bayern team and the Germany side.
Bayern Munich set the record for the earliest Bundesliga title win on Saturday when they were confirmed as German champions for the 23rd time with a 1-0 win at Eintracht Frankfurt.
One point from their remaining seven matches and the Bavarians - who have managed 10 wins on a roll - will be crowned champions, ending two years of Dortmund domination.
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