In regions of short T2*decay during long spiral k-space covering readouts can cause significant image blurring. In this work we introduce a novel correction for spatially varying T2* including a stimulated echo-based spiral T2* mapping sequence and compare it to an existing correction for constant T2*. Using both computational simulations and in-vivo spiral cardiac diffusion tensor data we show that the spatially varying correction improves the sharpness compared to the constant correction.