Apparatus for measuring the speed of surface ultrasonic waves on a part, comprising an emission head of waves directed towards the part but with an inclination, a second head, assigned either to collect a portion of the waves diffused from the part, or to return said portion to the emission head as an echo, the second head being directed towards the part but with an inclination opposite to the inclination of the emission head, and two active faces configured to collect or to return said wave portion, in a stepped arrangement and at an identical distance from the part.