The absorption of J/ψ by comovers in the forward rapidity region is predicted to be azimuthally anisotropic as compared to an isotropic Glauber absorption. In the framework of a fast simulation we investigate the possibility of measuring this anisotropy within the ALICE experiment for the J/ψ 's detected in the Di-Muon Spectrometer using the event plane provided by the Photon Multiplicity Detector(PMD). The effect of limitations in the event plane determination on measured J/ψ anisotropy is also investigated