  To assist the matching of lattice field theory results to the high energy
continuum limit we evaluate the Green's function where the tensor quark
bilinear operator is inserted at zero momentum in a quark $2$-point function
for an arbitrary covariant gauge. This is carried out in both the MSbar and RI'
schemes to four loops. The tensor current anomalous dimension is also
calculated to four loops in both schemes for an arbitrary colour group.
