High-resolution multichannel seismic data taken with a deep-towed source and receiving array are used to obtain estimates of the in situ compressional velocity-depth functions within the upper ~300 m of deep-ocean sediments. These data, taken on the Bermuda Rise in an area with a nominal water depth of 5 km, resolve structure consistent with DSDP data from the region. The velocity-depth functions derived from these data indicate little P-velocity gradient in the upper 100-170 m of sediments and resolve P-velocity inversions within the depth range sampled. ¿ American Geophysical Union 1988