Velocity anisotropy in rocks and soft sediments can indicate stress anisotropy and can be more sensitive to stress in soft sediments than in rocks. Most of the experimental studies on velocity anisotropy in soft sediments have been focused in the S-wave response. However, S-waves are highly attenuated in soft sediments under field conditions. P-waves are less attenuated and frequently acquired using in-situ geophysical methods. Hence, detecting stress anisotropy with P-waves in soft sediments would be of great value.