In the present investigation, Chebyshev wavelet-based technique is considered for the study of the effect of couple stress fluid on the squeeze film lubrication in long porous journal bearings. In order to study the pressure distribution, the non-dimensional Reynolds equation is solved by the aid of projected technique. The response of obtained solution with respect to pressure and circumferential coordinate are captured. Further, the physical behaviour of pressure with the help of eccentricity ratio, permeability parameter, and couple stress parameter is analysed and presented in terms of plots. According to results obtained, the couple stress fluid effect significantly increases the pressure as compare to the Newtonian case. Also, when the permeability parameter is decreased and the corresponding pressure decreases as compared to the solid case.