The injury has forced the striker to withdraw from Brazil's squad for their coming World Cup qualifiers next week.
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However, Cunha has hinted he won't be sidelined for long in a social media post this morning.
He said, "What an incredible environment, it's great to be here. I'll be back soon, always with joy and gratitude. Thanks for all the messages."
Cunha is now working on recovering from his hamstring strain with United's medical staff at Carrington.