On Legendrian embbeddings into open book decompositions

We study Legendrian embeddings of a compact Legendrian submanifold L sitting in a closed contact manifold (M, xi) whose contact structure is supported by a (contact) open book OB on M. We prove that if OB has Weinstein pages, then there exist a contact structure xi' on M, isotopic to xi and supported by OB, and a contactomorphism f:(M, xi) -> (M, xi') such that the image f(L) of any such submanifold can be Legendrian isotoped so that it becomes disjoint from the closure of a page of OB.