  We show that under some topological assumptions, an exact Lagrangian
cobordism $(W; L_{0}, L_{1})$ of dimension $dim(W) >5$ is a Lagrangian
pseudo-isotopy. This result is a weaker form of a conjecture proposed by Biran
and Cornea, which states that any exact Lagrangian cobordism is Hamiltonian
isotopic to a Lagrangian suspension.
