The uncapped 19-year-old Varane picked up a muscle injury during Real Madrid's 1-0 defeat at Granada in la Liga on Saturday.
"Real Madrid and France doctors agreed that the player was not fit enough to play in the coming days," a statement read.
The 23-year-old Yanga-Mbiwa, who joined Newcastle from Montpellier during the transfer window, has three international caps.
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