  Causal order can improve the quantum information transmission in
teleportation due a noisy entangled resource by using an appropriate
measurement state on the control state ruling the causal order. In this work,
we get analytically the fidelity for the entire process under an arbitrary
measurement over such control state and then we get a perfect teleportation by
selecting the optimal measurement on it. We also analyse other values
characterizing the imperfect entangled state where a perfect teleportation can
not be reached. Notably, we determine that the best fidelity does not depend on
the probabilities of the control state but on the imperfect initial resource
entangled.
