Apparatuses to control a fluid flow characteristic of fluid regulator bypass valves are described. An example apparatus includes an insert having a body sized to be inserted in a passage of a bypass valve. The body includes an opening to fluidly couple a bore of the body to an outer surface of the body. The opening being shaped to produce a predetermined flow characteristic in response to at least a portion of a restrictor of the bypass valve moving relative to the opening to vary a fluid flow through the opening and the bypass valve.