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In this paper, a priori speech absence probability (SAP) estimator is proposed for accurately obtaining the speech presence probability (SPP) in a complex noise field. Unlike previous techniques, the proposed estimator considers a complex noise sound field where the target speech is corrupted by a coherent interference with diffuse noise around. The proposed algorithm estimates a priori SAP based on the normalized speech to interference plus diffuse noise ratio (SINR) being expressed in terms of the speech to interference ratio (SIR) and the directional to diffuse noise ratio (DDR). The SIR is obtained from a quadratic equation of the magnitude-squared coherence (MSC) between two microphone signals. A performance comparison with several advanced a priori SAP estimators was conducted in terms of the receiver operating characteristic (ROC) curve. The proposed algorithm attains a correct detection rate at a given false-alarm rate that is higher than those attained by conventional algorithms.