We quantify the relative importance of environmental quenching versus pre-processing in z∼1 clusters by analysing the infalling galaxy population in the outskirts of 15 galaxy clusters at 0.8<z<1.4 drawn from the GOGREEN and GCLASS surveys. We find significant differences between the infalling galaxies and a control sample; in particular, an excess of massive quiescent galaxies in the infalling region. These massive infalling galaxies likely reside in larger dark matter haloes than similar-mass control galaxies because they have twice as many satellite galaxies. Furthermore, these satellite galaxies are distributed in an NFW profile with a larger scale radius compared to the satellites of the control galaxies. Based on these findings, we conclude that it may not be appropriate to use 'field' galaxies as a substitute for infalling pre-cluster galaxies when calculating the efficiency and mass dependency of environmental quenching in high redshift clusters. By comparing the quiescent fraction of infalling galaxies at 1<R/R200<3 to the cluster sample (R/R200<1) we find that almost all quiescent galaxies with masses >1011M⊙ were quenched prior to infall, whilst up to half of lower mass galaxies were environmentally quenched after passing the virial radius. This means most of the massive quiescent galaxies in z∼1 clusters were self-quenched or pre-processed prior to infall.