Standpoint epistemologies are based on two central theses: the situated knowledge thesis and the thesis of epistemic privilege. The bias paradox suggests that there is a tension between these two notions, in the sense that they are self-contradictory. In this paper, I aim to defend standpoint epistemologies from this challenge. This defense is based on a distinction between subjective and objective justifications. According to the former, a subject S is subjectively justified in believing a proposition P iff S's belief in P coheres with S's pre-existing beliefs. According to the latter, a subject S is objectively justified in believing a proposition P iff S's subjective justification is truth-conducive. I argue that, if the situated knowledge thesis is spelled out in terms of subjective justification, and if the thesis of epistemic privilege is spelled out in terms of objective justification, then there is no contradiction. If this line of thought is correct, then the bias paradox does not show that standpoint epistemologies are self-contradictory.