In small tortuous vessels in the presence of motion it is not possible to prescribe the imaging slice perpendicular to minimize the partial volume effect, which is a significant source of error in T2-based oximetry. We propose background suppression (BS) commonly used in ASL prior to T2-preparation. BS reduces SNR but can be compensated with increased slice thickness and reduced inplane resolution. We tested the method in a controlled experiment via quantification of femoral vein blood oxygenation, which has been measured extensively in our laboratory. The utility of the method is further demonstrated in human umbilical vessels in vivo.