Short-period exoplanets are generally expected to be on circular, aligned orbits due to strong tidal interactions with their host star. However, a fraction of the close-in planet population displays eccentric, misaligned orbits that could be the natural result of a Kozai resonance. This process may have played a major role in shaping the desert of hot Neptunes, delaying the migration of these planets so that they only recently wandered into the desert and started undergoing atmospheric erosion. A key prediction of this scenario is the presence of massive companions that remain on long-period orbits after inducing the migration of the inner planet.This poster presents the SOPHIE radial velocity program to detect companions in a sample spanning the upper border of the Neptunian desert by looking for drifts in RVs.