The invention relates to a method for washing out gas bubbles from at least one target area of an extracorporeal blood circuit, preferably an extracorporeal blood circuit of a dialysis machine, with a rinsing fluid. The flow rate and/or the pressure of the rinsing fluid in the extracorporeal blood circuit during the rinsing process is at least intermittently inconsistent, and/or the flow rate of the rinsing fluid in the extracorporeal blood circuit during the rinsing process is situated at least temporarily above a range of possible flow rates, which is used during the treatment of the blood. The invention also relates to an extracorporeal blood treatment unit with an extracorporeal blood circuit, a pump and a control unit. Said control unit is designed to carry out an inventive rinsing method. The invention further relates to an extracorporeal blood treatment unit with an extracorporeal blood circuit, a pump and a control unit. Said control unit is designed such that after the pump has been at a standstill or after the pump has been operated at a throttled speed, the conveying speed for the blood is slowly increased.