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The league's top scorer latched onto a superb Jerome Boateng cross and fired in his 31st goal of the campaign just before the break to send the Bavarians 10 points clear of second-placed Borussia Dortmund, who have three games left.
Both players will be involved in the Champions League campaign, which is expected to be concluded in August.
Leon Goretzka's 86th minute goal gave Bayern Munich a 2-1 victory over visitors Borussia Moenchengladbach to send them seven points clear at the top of the table. Second-placed Borussia Dortmund secured a last-gasp 1-0 win at Fortuna Duesseldorf.
The result left Dortmund second on 63 points with four rounds of games remaining, seven behind champions Bayern who moved a step closer to securing their eighth successive title with a 4-2 win at Bayer Leverkusen.
FIFA, an organisation that has had zero tolerance for players expressing personal views about politics, religion and social issues on the field, has asked organisers to use "common sense" with athletes who show messages of protest over Floyd's death.
Leipzig's second win in their last six league games put them two points ahead of Borussia Moenchengladbach and Bayer Leverkusen with the top four qualifying for the Champions League group stage.
The thumping victory left leaders Bayern, who are chasing an eighth successive league title, top of the standings on 67 points from 29 games, 10 ahead of second-placed Borussia Dortmund.
Joshua Kimmich's sweet first-half lob gave leaders Bayern Munich a 1-0 win at second-placed Borussia Dortmund.
Bayern, chasing a record-extending eighth straight league crown, next face Dortmund in the league's big game on Tuesday and victory there would send them seven points clear.
League top scorer Robert Lewandowski converted a 40th minute spot kick and Benjamin Pavard headed in a corner in the 80th in an empty stadium, to keep the Bavarians in the driving seat for a record-extending eighth successive league title.