What do I need to do to make my Jasmine plant grow more flowers?   

I too love jasmines! Try these tips to grow your shrub:

Re-pot your jasmine each spring. Use a soil-less potting mix composed largely of peat moss and organic matter. Add perlite to the soil medium to help promote drainage. Jasmine requires good drainage to prevent root rot

Hold the fertilizer. Jasmine does not need a lot of fertilizer. Use a slow release fertilizer with a low concentration. During the cold months, cease fertilizing completely.

Put the plant in a sunny area. Jasmine requires maximum light exposure in order to bloom. Place jasmine in a well lit spot by a window for light and to provide good air circulation.

Keep it dry. Jasmine shrubs thrive best in dryer soil conditions. You don’t need to water the plant if the soil is already moist – wait until the soil is dry to water again.

Place the jasmine on a humidity tray filled with water and stones to create a humid environment. Set the plant on top of the stones being careful not to let the pot be immersed in the water.