  We study the spatial distribution of supercurrent circulated around an
Abrikosov vortex in an SF bilayer in perpendicular magnetic field. Within the
dirty limit regime and circular cell approximation for the vortex lattice, we
derive the conditions when the Usadel equations the F layer can be solved
analytically. Using the obtained solutions, we demonstrate the possibility of
reversal of direction of proximity induced supercurrents around the vortex in
the F layer compared to that in the S-layer. The direction of currents can be
controlled either by varying transparency of the SF interface or by changing an
exchange field in a ferromagnet. We argue that the origin of this effect is due
the phase shift between singlet and triplet order parameter components induced
in the F-layer. Possible ways of experimental detection of the predicted effect
are discussed.
