An apparatus for transferring an ovum from a follicle with a technique of simultaneous flushing and aspiration, which apparatus comprises: a double lumen needle having at the distal needle end to be inserted into the follicle an aspiration lumen for removing an ovum from a follicle and a flushing lumen for inserting a flushing fluid into the follicle, the double lumen needle comprising an outer tube with an internally located inner tube (13; 51; 57) that extends over at least part of the length of the outer tube, one of the lumens (7; 9) being bounded by the inner surface of the inner tube (13; 51, 57) and the other of the two lumens (7; 9) by the space between the outer surface of the inner tube (13; 51; 57) and the inner surface of the outer tube, and a connector having a connector body which at a first distal connector end is connected to the proximal end of the double lumen needle remote from the distal needle end, having an outlet at a second connector end for discharging the flushing fluid with possibly an ovum to the exterior and having a channel means that connects the outlet with the aspiration lumen and defines a first fluid pathway for aspirating an ovum and having a flushing inlet between the two ends (21, 23) of the connector body for supplying the flushing fluid and, in fluid communication with the flushing lumen, for defining a second fluid pathway for flushing a follicle, wherein the two fluid pathways within the connector and the double lumen needle are separated from each other, and wherein the inner tube (13; 51; 57) comprises a deformable material, characterized in that the inner tube (13; 51; 57) exerts an elastic radial pressure on the inner surface of the outer tube thereby attaching itself to the outer tube, the lumen of the inner tube (13; 51; 57) is the aspiration lumen of the double lumen needle, viewed in cross section, the inner tube (13; 51; 57) comprises at least over part of its circumference a depressible part that is depressible as a result of a pressure difference which occurs during normal use between the aspiration lumen and the flushing lumen, and the flushing lumen, at least during flushing, consists of a space between the inner surface of the outer tube and the outer surface of said depressible part of the inner tube (13; 51; 57). a double lumen needle having at the distal needle end to be inserted into the follicle an aspiration lumen for removing an ovum from a follicle and a flushing lumen for inserting a flushing fluid into the follicle, the double lumen needle comprising an outer tube with an internally located inner tube (13; 51; 57) that extends over at least part of the length of the outer tube, one of the lumens (7; 9) being bounded by the inner surface of the inner tube (13; 51, 57) and the other of the two lumens (7; 9) by the space between the outer surface of the inner tube (13; 51; 57) and the inner surface of the outer tube, and a connector having a connector body which at a first distal connector end is connected to the proximal end of the double lumen needle remote from the distal needle end, having an outlet at a second connector end for discharging the flushing fluid with possibly an ovum to the exterior and having a channel means that connects the outlet with the aspiration lumen and defines a first fluid pathway for aspirating an ovum and having a flushing inlet between the two ends (21, 23) of the connector body for supplying the flushing fluid and, in fluid communication with the flushing lumen, for defining a second fluid pathway for flushing a follicle, wherein the two fluid pathways within the connector and the double lumen needle are separated from each other, and wherein the inner tube (13; 51; 57) comprises a deformable material, characterized in that the inner tube (13; 51; 57) exerts an elastic radial pressure on the inner surface of the outer tube thereby attaching itself to the outer tube, the lumen of the inner tube (13; 51; 57) is the aspiration lumen of the double lumen needle, viewed in cross section, the inner tube (13; 51; 57) comprises at least over part of its circumference a depressible part that is depressible as a result of a pressure difference which occurs during normal use between the aspiration lumen and the flushing lumen, and the flushing lumen, at least during flushing, consists of a space between the inner surface of the outer tube and the outer surface of said depressible part of the inner tube (13; 51; 57).