Summary: The foremost objective of this study is to reflect the behaviour of hybrid nanofluid towards a permeable porous medium, with consideration of second-order velocity slip and heat absorption impacts on the fluid flow. Two distinct fluids of copper (Cu) and aluminium oxide (\(\mathrm{Al_2O}_3\)) are reviewed in this study to work out as a hybrid nanofluid flow. The equations of boundary layer flow in the form of partial differential equations are reduced to a system of ODEs by conducting a similarity transformation technique, and the findings that obtained from this study are presented in the respective tables and figures. The effects of involving parameters such as suction, porous medium permeability, heat absorption and second order velocity slip are perceived, as well as our intention in observing the impact of traditional nanofluid and hybrid nanofluid on the fluid flow. Our findings revealed that the hybrid Cu-\(\mathrm{Al_2O}_3\)/water nanofluid performs well on the fluid flow behaviour against the mono \(\mathrm{Al_2O}_3\)/water nanofluid. Moreover, the participating parameters of porous medium permeability, suction and nanoparticle volume fraction are said to improve the boundary layer thickness, while second-order velocity slip parameter is deemed to decay the fluid flow.