  Let $M$ be a spin manifold, the Dirac operator with coefficient in the
universal flat Hilbert $C^\ast \pi_1(M)$-module determines a "Rosenberg index
element" which, according to B.Hanke and T.Schick, subsumes the enlargeablility
obstruction of positive scalar curvature on $M$. In this note, we generalize
this result to the case of spin foliation. More precisely, given a foliation
$(M,F)$ with $F$ spin, we shall define a foliation version of "Rosenberg index
element" and prove that it is nonzero at the presence of compactly
enlargeability of $(M,F)$.
