Method for producing a biaxially oriented tube from thermoplastic material, wherein a tube in preform condition is extruded from thermoplastic material using an extruder which is provided with an extruder die head having an inner die member, the inner die member forming a lumen in the tube in preform condition, wherein the tube in preform condition is subjected to a temperature conditioning, so that a tempered tube in preform condition is obtained having an orientation temperature which is suitable for the thermoplastic material, and wherein use is made of an expansion device, having a nose end, where said expansion device brings about expansion of the tempered tube in preform condition in circumferential direction, wherein the expansion device is held by an anchoring rod, and wherein the expansion device comprises: - a non-deformable expansion part having a gradually increasing diameter to a maximum diameter at a downstream end thereof, which expansion part is contacted by the tube and exerts an expanding force on the tube so as to bring about expansion of the tempered tube in preform condition in circumferential direction, - a run-on part which is located upstream of the expansion part, said run-on part having an upstream nose end, - one or more fluid supply ducts, said one or more fluid supply ducts having a port in the outer surface of the run-on part and/or the expansion part of the expansion device, and wherein fluid is introduced and forms a fluid volume between the expansion device and the tube, wherein the run-on part is provided with a sealing member that is sealingly engaged by the tube in preform condition, said sealing member being arranged at a distance upstream of the expansion part, e.g. at the nose end of the run-on part, and said sealing member having a diameter that is greater than the run-on part downstream of the sealing member, the sealing member forming an effective seal that prevents the fluid from reaching the lumen of the tube upstream of the sealing member, wherein the method comprises drawing the tempered tube over the expansion device using a drawing device which is arranged downstream of the expansion device and acts on the tube, in such a manner that said tube is transformed from a tube in preform condition into a biaxially oriented tube with thermoplastic material which is oriented in axial direction and in circumferential direction of the tube, wherein said biaxially oriented tube is cooled, characterized in that use is made of one or more temperature sensors that are provided on the expansion device or upstream of the sealing member on the anchoring rod within a distance of at most 2 meters from the sealing member, which one or more temperature sensors sense the temperature of the inner face of the tube in preform condition in said region. - a non-deformable expansion part having a gradually increasing diameter to a maximum diameter at a downstream end thereof, which expansion part is contacted by the tube and exerts an expanding force on the tube so as to bring about expansion of the tempered tube in preform condition in circumferential direction, - a run-on part which is located upstream of the expansion part, said run-on part having an upstream nose end, - one or more fluid supply ducts, said one or more fluid supply ducts having a port in the outer surface of the run-on part and/or the expansion part of the expansion device, and wherein fluid is introduced and forms a fluid volume between the expansion device and the tube,