The Landau diamagnetism of conduction electrons at sufficiently high temperatures (larger than the Landau level spacing but smaller than the Fermi energy) is considered using the analogy with Pauli paramagnetism. An expression obtained for the diamagnetic susceptibility is identical to the well-known Landau result. While the model describing free particles assumes a quadratic dispersion law, the difference between the effective mass of a carrier and electron mass is taken into account.