We study the heavy quark potential in the instanton liquid model by carefully measuring Wilson loops out to a distance of order 3fm. A random instanton ensemble with a fixed radius rho 1/3fm generates a potential V(R) sowing very slowly at large R. In contrast, a more realistic size distribution growing as rho(6) at small rho and decaying as rho(-5) at large rho, leads to a potential which grows linearly with R. The string tension, however, is only about 1/10 of the phenomenological value.