The 20-year-old has a contract with BVB until the summer of 2016, but the newly-crowned Bundesliga champions have made it clear that they are ready to meet Gotze's €37 million buy-out clause.
"Bayern Munich confirm that the club have reached an agreement with Mario Gotze ahead of a transfer on July 1, 2013. Bayern are willing to match the buy-out clause agreed between Borussia Dortmund and Mario Gotze," the Bavarians announced in an official statement.
"Bayern intended to inform Dortmund about the transfer after their Champions League match against Real Madrid."
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"Germany international Mario Gotze and his agent Volker Struth have informed Borussia Dortmund that Gotze wants to use his exit clause and join Bayern Munich," a statement on the official BVB Facebook page reads.
"Sporting director Michael Zorc and head coach Jurgen Klopp ask all the BVB fans to unconditionally support Mario Gotze in the remaining games of the season, in particular in the crucial Champions League semi-final against Real Madrid.
"No official representative of Bayern Munich has contacted Borussia Dortmund about this matter up until today."
Dortmund chief Hans-Joachim Watzke has admitted that Gotze's imminent departure is a huge blow for the Schwarzgelben, but added that the forward behaved correctly toward the club.
"We are obviously very disappointed, but want to stress that both Mario and his agent behaved conform the terms of his contract," commented Watzke.
Gotze had also caught the attention of Manchester United among others, but the Premier League champions pulled out of the race to sign the attacking midfielder due to the youngster's hefty price-tag.