A codimension one foliation $\cal F$ on a smooth manifold $M$ is *taut* if every leaf of $\cal F$ meets a closed transversal (i.e., a simple closed curve that is everywhere transversal to the leaves of the foliation). Is it true that a taut foliation admits a closed transversal $\gamma$ that meets *all* leafs of the foliation?

(I've seen such a curve $\gamma$ being referred to as a total transversal).