The current research reveals the impact of heat absorption on unsteady MHD convective Jeffery flow of a viscous, electrically conducting and incompressible fluid is researched on. The equations governing the flow of the fluid are described as Partial Differential Equations (PDEs) and Finite Difference Method (FDM) is used to obtain numerical solutions. Numerical investigations were conducted to examine the effect of parameters in the flow of the fluid i.e. on the velocity, temperature and concentration with the aid of graphs. It is seen that, the momentum boundary layer increases as the values of heat absorption and Jeffery parameters are increased while the velocity of the fluid fall for higher values of the suction and chemical reaction parameter. Also, the temperature of the fluid rises as heat generation becomes significant and a reverse trend is seen when suction is increased while increase in heat absorption parameter causes an increase in the concentration of the fluid.