Analysis regarding convective surface phenomenon has emerged to be effective approach to depict refinements in thermal features, since most of the heat/mass transfer surfaces are disclosed to a convective environment at specified parameters which cannot be achieved through energy analysis. The development in the dynamics of convective heat and mass transport is significant in understanding diverse engineering and industrial phenomena such as in thermal energy storage material drying process, transpiration cooling process, and many others. Keeping aforementioned usefulness in mind, the current analysis is aimed to demonstrate the convective features in squeezed Sutterby fluid flow through parallel surfaces. Magneto-hydrodynamic (MHD) theory is incorporated to describe the squeezing flow phenomenon. The Sutterby fluid model is accounted in order to specify the flow nature in squeezed channel. The top plate is assumed to be squeezed whereas the lower plate is at rest. The convective heating is incorporated at both lower and upper plates. Inspection of mass transfer has been accomplished in the occupancy of solutal convective conditions at the both surfaces. The equations governing the flow, heat and mass transport are first derived under the assumptions of low magnetic Reynolds number and negligible viscous dissipation, and then made non-dimensional by defining the similarity variables. Series solutions representing the flow velocity, temperature and concentration distributions are computed for definite values of power law index by utilizing convergent approach. Results are graphed and physical elucidated is seen for involved flow parameters. Variations in co-efficient of skin friction, Nusselt and Sherwood numbers are reported graphically. Significant findings in this attempt is that higher lower plate thermal and solutal Biot numbers strengthen the both heat and mass fluxes, while larger upper plate thermal and solutal Biot numbers weaken the heat and mass fluxes.