A turbomachine, particularly a steam turbine, is provided. The turbomachine includes a machine housing and a shaft, which is guided through and guided out of the machine housing, at least on one side, wherein at least one annular gap present between the shaft and the machine housing is sealed by way of a shaft sealing assembly, wherein the shaft sealing assembly includes at least one radial double seal having two pairs of sealing surface pairs, which are spaced apart substantially radially and between which an annular sealing liquid chamber is formed, which can be supplied with sealing liquid via a sealing liquid feed line, wherein each sealing surface pair has an annular rotating sealing surface and an annular non-rotating sealing surface, which are arranged substantially axially opposite of each other and prestressed with respect to each other.