The Germany star, 24, was pivotal in Joachim Low's World Cup-winning team this summer and Castrol's Fifa index suggested he was the best player in the tournament.
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"Tomorrow or in the next few days I will go to Real Madrid," Kroos told AS while holidaying in Majorca.
He added, when asked how his mood was following Germany's heroics in Brazil: "Of course I'm delighted right now, how could I not be after winning the World Cup?!"
Bayern CEO Karl-Heinz Rummenigge had already paved the way for Kroos' exit by suggesting that the Bavarians would cash-in on the midfielder for the right price.
Kroos, who has been with Bayern since 2006, looks set to head into a Blancos midfield which currently includes Xabi Alonso, Asier Illarramendi, Sami Khedira, Angel Di Maria, Luka Modric and Casemiro.