The influence of steady state on myelin water fraction derived from mGRE data was investigated, with the aim of estimating myelin water T1. Myelin and tissue water were identified by their T2* properties following an NNLS analysis. PCA denoising reduced the variability (SD) of MWF by nearly a factor of 2. The residuals of the NNLS fit were found to be small (below 0.5%) but highly significant, and showed no dependence on TR. The derived T1 of myelin water was highly variable and shorter than that of tissue water. These findings are consistent with a reduced exchange between pools.