A higher viscosity fluid dispensing apparatus is provided having a reservoir chamber and a pump head positioned adjacent to an end of the reservoir chamber. The pump head includes a pump body having a pump cavity formed therein, a first one-way valve between the reservoir chamber and the pump cavity, a piston slidably engaged with the pump cavity and having a pump outlet in fluid communication with the pump cavity, and a second one-way valve between the pump outlet and the first one-way valve. The first one-way valve and second one-way valve cooperate to draw a higher viscosity fluid from the reservoir chamber into the pump cavity and expel the fluid out of the pump cavity through the pump outlet.