Overton, who made his test debut in Adelaide earlier this month, was diagnosed with a cracked rib during the third test in Perth which Australia won to regain the Ashes.
After being struck in the ribs when batting in Adelaide, Overton exacerbated the damage when he tumbled attempting to take a catch off his own bowling in Perth.
The England and Wales Cricket Board confirmed today that Overton won't play in Melbourne beginning Tuesday.
Uncapped paceman Tom Curran is reported to be set to make his debut to replace Overton.
The 22-year-old Curran, who was born in South Africa, played a one-day international and three Twenty20 matches for England earlier this year.
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