Joshua Kimmich warned "hungry" Bundesliga leaders Bayern Munich still have room for improvement after they beat Greuther Furth 3-1 despite Benjamin Pavard's red card.

Robert Lewandowski's long goalscoring streak ended at 15 consecutive Bundesliga games - one short of Gerd Muller's record - but the champions moved three points clear of Wolfsburg.

That is now 40 goals in their past eight matches for ruthless Bayern, who led 2-0 courtesy of great finishes from Thomas Muller and Kimmich at half-time.

Pavard was given his marching orders for a professional foul on Jeremy Dudziak early in the second half, but a Sebastian Griesbeck own goal extended their lead.

Cedric Itten's header in the closing stages was too little, too late for bottom side Furth in the Bavarian derby at Sportpark Ronhof on Friday.

Bayern have won eight consecutive matches in a great start to Julian Nagelsmann's reign and midfielder Kimmich says there is more to come.

Robert Lewandowski

The Germany international told DAZN: "The character of the team is great. We have players who want to develop, who are hungry.

"We want to win every game. We're in good form at the moment, but we haven't been able to manage all of the games this season with confidence. There's room for improvement."

Kimmich, who delivered the free-kick that was turned into his own net by Griesbeck, added: "It wasn't exactly a brilliant performance on our part, but we had the game under control even when we played with 10.

"We made mistakes in the first half, and we kept inviting Furth via set-pieces."