The almost contact-to-contact existence conjecture

Let $M$ be a $(2n+1)$-dimensional manifold equipped with an almost contact structure, meaning a codimension-$1$ cooriented distribution together with a conformally symplectic class on it. Almost contact-to-contact existence conjecture. Any almost contact structure on a manifold $M$ admits a deformation in its homotopy class of almost contact structures to a contact structure. This is the fundamental existence conjecture of contact topology: it asserts that the formal almost contact condition is sufficient for the existence of a contact structure in the same homotopy class. The supplied text does not indicate whether the conjecture has been resolved.