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We study the role of electron correlations in the type II Weyl semimetallic candidate γ-MoTe₂ by using density functional theory (DFT) where the on-site Coulomb repulsion (Hubbard U) for the Mo 4d states is included within the DFT+U scheme. We find that inclusion of Hubbard U is important to describe both the light-polarization dependence of the ARPES and the angular dependence of the Fermi surface as measured by quantum oscillation experiments. We also show that though the number and position of Weyl points change non-linearly with U, the Weyl physics remains robust for a wide range of U values. Our calculations also indicate that $\gamma$-MoTe$_2$ is in the vicinity of a correlations-induced Lifshitz transition which can be probed experimentally by small amount of doping and its interplay with the Weyl physics might be intriguing.