Precise quantification of the contrast agent uptake in DCE-MRI is still challenging. Here, we redesigned the reconstruction scheme of MR fingerprinting by introducing a sliding window into the process of dictionary matching, which allows dynamic quantification of T1 and T2* in DCE-MRI with high temporal resolution. The performance of this proposed dynamic MRF method is simulated and tested on MATLAB. The time-varying trajectories of T1 and T2* have been successfully captured with a temporal resolution of 4.5 seconds. This method may open the door of utilizing MR fingerprinting to quantify time-varying variable with adjustable temporal resolution.