Pressure dependence of the electrical resistivity up to 10 kbar in the temperature range 1.7-300 K as well as the point-contact spectroscopy (PCS) at 1.4 K have been measured on quasi-two-dimensional γ-Mo4O11 crystals. We have found that the charge density wave instabilities are enhanced by hydrostatic pressure through increased electron-phonon interactions and the deformed Fermi surface. The PCS signals involve a number of phonon related peaks, together with a characteristic peak associated with the CDW instabilities.