Vunipola strained his cruciate ligament last week and missed Saturday's victory over Argentina at Twickenham.
Scrumhalf Ben Youngs also missed the 31-12 win with a hip injury but Lancaster said he should be fit for the All Blacks test.
Prop Joe Marler, substituted at halftime against the Pumas with concussion, is "likely to be ok".
(Editing by Justin Palmer and Robert Woodward)
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