  We investigate superconducting phase transition in
superconductor(S)/ferromagnet(F) bilayer with Rasba spin-orbit interaction at
S/F interface. This spin-orbit coupling produces spontaneous supercurrents
flowing inside the atomic-thickness region near the interface, which are
compensated by the screening Meissner currents [S. Mironov and A. Buzdin, Phys.
Rev. Lett \textbf{118}, 077001 (2017)]. In the case of thin superconducting
film the emergence of the spontaneous surface currents causes the increase of
the superconducting critical temperature and we calculate the actual value of
the critical temperature shift. We also show that in the case of type-I
superconducting film this phase transition can be of the first order. In the
external magnetic field the critical temperature depends on the relative
orientation of the external magnetic field and the exchange field in the
ferromagnet. Also we predict the in-plane anisotropy of the critical current
which may open an alternative way for the experimental observation of the
spontaneous supercurrents generated by the SOC.
