Magnetization Transfer Ratio (MTR) imaging may be a valuable tool for the diagnosis and follow-up of demyelinating diseases. However, MTR maps require long scan times for whole-brain coverage and high isotropic resolution. We present a novel MTR imaging method based on a spiral-phyllotaxis Cartesian FLASH sequence and compressed sensing, called MTRSparse, and compare it to fully sampled and parallel-imaging-accelerated acquisitions in healthy volunteers. MTRSparse showed good contrast and similar MTR values in comparison to the reference method with up to 87% reduction in acquisition time. This can help facilitate implementation of MTR imaging in the clinical practice.