We propose a speech enhancement-by-resynthesis framework whose strength lies in a common statistical speech model that is shared by the analysis and synthesis stages. First, a spectro-temporal analysis is performed and masked spectro-temporal regions are identified using a noise model. Then, HMM synthesis is used to reconstruct the spectral envelope in masked regions in a manner which is conditioned on the reliable regions, preventing the resynthesis from regressing to the training data mean. As a demonstration we enhance noise-corrupted speech utterances from a small vocabulary corpus for which good statistical models are available. Perceptual evaluation of speech quality and log spectral distances demonstrate considerable performance improvements over baseline approaches that do not exploit strong speech knowledge. The letter is accompanied by audio examples.