It is experimentally shown that the change in the longitudinal autosoliton current in a longitudinal magnetic field depends on the direction of this magnetic field $$\left( {\left| {\vec H} \right| = \left| {\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\leftarrow}$}}{H} } \right|} \right)$$ . Within the context of the Pauli paramagnetism model for degenerate plasma, it is inferred that the difference between the currents in the current-(magnetic field) characteristics arises from the appearance of an excess concentration of spin-oriented electrons with additive mobility. The paramagnetic susceptibility and magnetization of a longitudinal autosoliton are determined.