  We study spanning sets for the Kauffman bracket skein module
$\mathcal{S}(M,\mathbb{Q}(A))$ of orientable Seifert fibered spaces with
orientable base and non-empty boundary. As a consequence, we show that the KBSM
of such manifolds is a finitely generated $\mathcal{S}(\partial M,
\mathbb{Q}(A))$-module.
