This disclosure relates to a method for the nondestructive testing, using laser ultrasonics, of a composite part having a fibrous reinforcement in a resin that optically scatters the laser, includes: a) taking a measurement of the thickness of the resin of the part on the surface that is illuminated during the laser shot, which is capable of generating a thermoelastic effect in said resin and which is referred to as an ultrasonic laser shot; b) adjusting the power of the laser of said ultrasonic shot on the basis of the thickness measurement carried out in step a) so as to eliminate any risk of a flash on the reinforcements; and c) producing the ultrasonic laser shot at the power determined during step b). The device used for implementing the method comprises a combined photoacoustic imaging and low time-coherence interferometry (OCT) system.