Let and . In this paper, we consider the following class of nonlocal semipositone problems: where the weight is positive, is a parameter, and is strictly negative on . For having subcritical growth and weaker Ambrosetti-Rabinowitz type nonlinearity, we prove that the above problem admits a mountain pass solution , provided a is near zero. To obtain the positivity of , we establish a Brezis-Kato type uniform estimate of in for every .