*Rajabi A. and Berakdar J.*

We present solutions for the Dirac equation in the form of Bessel or Laguerre-Gaussian beams for, respectively, a free electron or an electron subject to a longitudinal constant magnetic field. We calculate the probability and the current distributions and find a strong dependence on the spin angular momentum and the orbital angular momentum of the relativistic electron beam. The role of the intrinsic spin-orbital coupling is investigated.