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The attacker, who has won 20 caps for his country since his debut in 2021, had been called up for the team's friendlies with Peru and Belgium.
But he will no longer link up with Hansi Flick's squad after he picked up a leg problem during Bayern's 2-1 defeat to Bayer Leverkusen in the Bundesliga on Monday (AEDT).
Flick confirmed the news ahead of his team's open recovery session in Frankfurt on Monday, and confirmed he would not call up a replacement for Musiala.
"We [had] all hoped that Jamal would be fit, because he has unique qualities," he said. "That's why it's a shame for everyone that he won't be with us.
"We hope he is fit again as soon as possible and that he is back playing after the international matches."
Musiala, who was capped by both England and Germany at youth level before declaring for the latter, made his debut against Iceland in March 2021.
He was a member of their squads at both Euro 2020 – where they were knocked out by the Three Lions – and the Qatar 2022 World Cup, where they were eliminated in the group stages.
In his absence, Germany will face Peru in Mainz on Saturday before they travel to Cologne for a clash with Belgium three days later, with Die Nationalmannschaft not required to qualify for Euro 2024 as the host nation.