It has been shown in Refs. [1,2] that the combination of the condensate motion, the exchange field and the Rashba spin-orbit coupling (SOC) induces generation of the long-range triplet superconducting correlations (LRTC), which can be detected via the unusual behavior of Josephson effect and local density of states in superconductor/ferromagnet structures. In this work we predict that such a generation is a more general phenomenon, which takes place not only for intrinsic SOC, like Rashba SOC, but also for extrinsic impurity-induced SOC. The structure of the supercurrent-induced correlations is studied both for S/F bilayers and S/F/S Josephson junctions with extrinsic SOC in superconductor. We demonstrate that in S/F/S junctions, where the Josephson coupling is realized via the supercurrent-induced correlations, the ground state phase can be switched between 0 and pi. The switching is controlled by relative directions of the condensate momentum in superconducting leads, thus realizing a new physical principle of the 0 −pi shifter.