We report the use of high-resolution, phase-sensitive ultrasound speckle tracking to measure the local vessel-wall strain in two subjects with artery-vein bypass grafts. In addition, we combined this technique with a free-hand pressure equalization procedure to elucidate the non-linear effects of blood pressure on vessel wall compliance. While conventional ultrasound imaging can be used to elucidate the mechanical properties of tissues within the body, it is constrained by comparatively lower resolution and inferential, rather than direct measurments of strain and by the small strain normally produced under physiologic pressure in highly nonlinear structures such as arteries. One of our subjects was examined both before and after developing stenosis 3 months post-surgery. The strain values for this individual were found to be significantly lower indicating a stiffer vessel wall at the stenotic region than at a non-stenotic region under both physiologic and equalized pressure. These results suggest the possibility of noninvasive detection of the neointimal hyperplasia preceding anastomotic stenosis.