In our earlier studies, we proposed that Yb2Ti2O7 is a magnetic Coulomb liquid above a transition temperature Tc ~0.21 K, and becomes a ferromagnet via a Bose-Einstein condensation below Tc. The mechanism by which the two-dimensional correlations emerge within the Kagome planes depends on the large difference between the g-tensor in the Kagome planes and along the Ising components. By applying a magnetic field, the doublet ground state of Yb2Ti2O7 can be lifted and this may lead the system to enter a new magnetic phase via a quantum phase transition. We propose to investigate the low-temperature evolution of the field-dependent magnetic correlations in an Yb2Ti2O7 single crystal by means of polarized diffuse neutron scattering at D7. Polarization analysis will allow us to probe the magnetic correlations along different crystallographic directions.