A continuously variable transmission pump limited stop controls system includes a continuously variable transmission (CVT) including primary and secondary variator pulleys. The primary and the secondary variator pulley each have a mating half with a conical face, defining a variable-width gap between each pulley and its mating half. A flexible member is positioned within the gap and is movable on the conical faces defining a CVT ratio. A secondary pulley valve controls flow of a fluid to the secondary variator pulley. A secondary pulley pressure boost system identifies if a rapid stop event is occurring and issues a command to fully open the secondary pulley valve during the rapid stop event. As the CVT ratio reaches a predetermined threshold of a desired relaunch ratio during the rapid stop event, an engine speed request is issued to an engine connected to the CVT to increase engine speed.