  We present a generalization of the diagrammatic pump-probe approach to
coherent backscattering (CBS) of intense laser light for atoms with degenerate
energy levels. We employ this approach for a characterization of the double
scattering signal from optically pumped atoms with the transition
$J_g\rightarrow J_e=J_g+1$ in the helicity preserving polarization channel. We
show that, in the saturation regime, the internal degeneracy becomes manifest
for atoms with $J_g\geq 1$, leading to a faster decrease of the CBS enhancement
factor with increasing saturation parameter than in the non-degenerate case.
