A laser amplifier arrangement includes an optical pump source and an axially arranged laser oscillator-amplifier configuration pumped by the pump radiation. The laser oscillator-amplifier configuration includes a laser oscillator excitable by a portion of the pump radiation to emit a laser beam, and a laser amplifier that amplifies the laser beam using the pump radiation. The laser oscillator and laser amplifier are arranged in a substantially coaxial or collinear manner relative to a longitudinal axis of the laser oscillator-amplifier configuration. The pump source includes a first beam source for producing a first pump radiation to pump the laser oscillator, a second beam source for producing a second pump radiation for the laser amplifier, and a pump radiation conducting device, by means of which both the first and the second pump radiation can be lead into the laser oscillator-amplifier configuration substantially in the direction of the longitudinal axis for longitudinal pumping.