Measuring physical parameters quantitatively by magnetic resonance imaging (MRI) has a high value for diagnostic applications as it allows the detection of disease related systemic changes. However, quantitative MRI mapping methods increase the scan time significantly compared to conventional imaging. Therefore, we investigated the applicability of Compressed SENSE (CS) acceleration in a multi-parametric mapping protocol for R1, R2*, PD, and MTsat imaging. Our results demonstrate that absolute parameter values remained constant in all evaluated regions-of-interest when applying CS. Thus, CS can be used to almost halve the scan for R1, R2*, PD, and MTsat mapping without loss of fidelity.