In this work, we examine the orientation-dependent scattering and attenuation properties of white matter from mammalian brain tissue. We find that both the backscatter and attenuation of ultrasound in these tissues exhibit anisotropy. Furthermore, when extrapolated down to 1 MHz, it appears that the attenuation differences will be small but the backscatter differences are potentially resolvable. From a tissue characterization context, this means that the impact of changes due to the rotation of overlying tissues will be small compared to the changes in the strength of the backscatter signals from the regions of interest.