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In  , Jab loński proved that a piecewise expanding C 2 multidimensional Jab loński map admits an absolutely continuous invariant probability measure (ACIP). In , Boyarsky and Lou extended this result to the case of i.i.d. compositions of the above maps, with an on average expanding condition. We generalize these results to the (quenched) setting of random Jab loński maps, where the randomness is governed by an ergodic, invertible and measure preserving transformation. We prove that thedoi:10.3934/dcds.2021100 fatcat:fppzolgnmfev7lmod2s42qz2x4