In this study, a supervised probabilistic principal component analysis (SPPCA) model is proposed in order to integrate the speaker label information into a factor analysis approach using the well-known probabilistic principal component analysis (PPCA) model under a support vector machine (SVM) framework. The latent factor from the proposed model is believed to be more discriminative than one from the PPCA model. The proposed model, combined with different types of intersession compensation techniques in the back-end, is evaluated using the National Institute of Standards and Technology (NIST) Speaker Recognition Evaluation (SRE) 2008 data corpus, along with a comparison to the PPCA model.