BaCo2V2O8 is a good realization of the spin-1/2 quasi-1D Ising-like antiferromagnet (AF). At zero field, a Néel magnetic order occurs below 5.4 K. Applying a magnetic field parallel to the Ising axis induces an exotic magnetic order above Hc = 3.9 T and below 1 K, which is of a longitudinal incommensurate type (IC1), before the transverse AF order settles in above Hc2 = 9 T. The corresponding H - T phase diagram was determined in a previous neutron diffraction experiment up to 12 T. An NMR study found strong longitudinal incommensurate correlations (IC2) coexisting with the transverse AF order between Hc2 and Hc3 = 19 T, and a third ordered phase (IC3) between Hc3 and the saturation field Hs = 23 T. We propose to explore the high field part of the H - T phase diagram up to Hs by means of neutron diffraction and, in particular, to identify the IC3 phase and establish the nature of the correlations in the IC2 and IC3 phases. For this purpose, we apply for 10 days of beamtime on HFM/EXED.