For many years I've used the same process and never had any oil bleed out after completion and refinish........I alternate submerging in an Acetone and Lacquer Thinner sealed bath, weighted down with a brass rod........I continue the bath process sometimes for a week depending on the severity of the oil stains.....
In the summer I also alternate these baths with periods of direct sunlight here in the Southwest where the suns radiant heat is brutal....the suns radiant heat brings any lingering oil to the surface.....