An apparatus for laser treatment of a human eye comprises a source of pulsed laser radiation, and a control device for controlling a focus of the laser radiation in space and time to generate an incision figure. The incision figure defines a corneal flap, a first auxiliary channel and a second auxiliary channel. The corneal flap is connected to adjoining corneal tissue in a hinge region, and has a flap underside parted-off from adjoining corneal tissue by a bed incision. The first auxiliary channel extends from the hinge region to an outer surface of the eye and is adapted to remove gases that develop during the generation of the bed incision. The second auxiliary channel extends along an edge of the bed incision, is connected to the first auxiliary channel, and extends beyond the hinge region. The control device is configured to generate the second auxiliary channel prior to the bed incision.