The purpose of this article is to analyze, theoretically, the effect of modulation on rotating Brinkman-Lapwood convection, i.e., buoyancy-driven convection in a sparse porous medium subjected to rotation. Darcy-Brinkman momentum equation with Coriolis term has been used to describe the flow. The system is considered rotating about an axis with non-uniform rotation speed. In particular, we assume that the rotation speed is varying sinusoidally with time. A linear stability analysis has been performed to find the critical Rayleigh number in modulated case. The effect of modulated rotation speed is found to have a stabilizing effect on the onset of convection for different values of modulation frequency and the other physical parameters involved.