This is often given the label of Carpal Tunnel Syndrome, but often has very little to do with the Carpal Tunnel in the wrist itself. Unfortunately people are often sent for surgery on the Carpal Tunnel, only to have their symptoms of numbness or tingling return as it is more usually due to a nerve compression from the muscles.
The most common muscles which do this are the scalenes, in your neck. Tight scalenes pull up the first rib against the collarbone, squeezing the nerves and blood vessels that pass between them. It is this pressure is often the cause of numbness and tingling in the hands and fingers.
A deep tissue massage to enable these muscles to release their tight hold on the top rib, will allow it to drop and stop any compression.