A shaft arrangement for a transmission comprises a shaft having an axial bore into which oil can be introduced via an oil supply system, at least one loose wheel which is rotatably supported on the shaft via a bearing, and a shift clutch arrangement which is arranged for connecting the loose wheel with the shaft in a rotationally fixed manner. The shift clutch arrangement comprises a guide sleeve which is connected with the shaft via a tooth engagement in a rotationally fixed manner. The axial bore is connected via at least one transversal bore with the outer circumference of the shaft, so as to supply oil to the bearing and to the shift clutch arrangement. The transversal bore is arranged in an area of the tooth engagement between the guide sleeve and the shaft. A channel is provided in at least one of an area of a toothing of the guide sleeve and an area of the toothing of the shaft, which, together with the guide sleeve toothing, forms the tooth engagement. The channel connects the transversal bore with an area between the guide sleeve and the bearing.