A method for the drainage of permeate gases from a flexible tubular pipe and a pipe embodied for carrying out the method. The pipe comprises at least one inner pressure sleeve, for the transport of hydrocarbons, which contain permeate gases which diffuse across the wall of the inner pressure sleeve. The pipe has an outer sleeve and several reinforcement layers, arranged in an annular zone between the outer sleeve and the inner pressure sleeve. The annular zone has transport ducts in which the permeate gases can circulate towards the removal. The method comprises a forced circulation of the permeate gases in the annular zone through the transport ducts towards the removal.