Contrasts based on T1 and R1 (1/T1), including T1/T2-weighted hybrid contrast, have been proposed to map intracortical myelin in the mammalian brain. However, iron in the cortex may obscure changes in myelin investigated by T1-based contrast since T1 is also sensitive to myelin. Here we explore magnetization transfer contrast for mapping ICM, as it may be more specific for myelin. We compare R1 maps measured by MP2RAGE with MTsat measured by MT-FLASH in two marmosets, a species of small non-human primate. Although MTsat shows a similar pattern as R1 in some regions of the cortex, MTsat suffers from signal inhomogeneity issues and care is needed to correct these in future measurement protocols to properly compare R1 and MTsat contrasts.