Compressed sensing (CS) acceleration was evaluated in high spectral and spatial resolution (HiSS) MRI, at acceleration factors up to R=10. Effective spatial resolution was maintained in the readout direction, and decreased with R in the phase encoding direction, although acceleration factors of up to R = 4 are realistic. Noise and artifact level amplification were not observed. CS could improve diagnostic utility of HiSS MRI in breast by allowing longer echo trains and thus heavier T2* weighting in a fewer number of k-space lines. CS could also facilitate use of HiSS MRI in geometrically constrained applications, such as prostate MRI.