The problem of detecting a constant signal in nearly Gaussian skewed noise is studied in this paper. Sensitivity of both the linear detector and the sign detector are examined. It is shown that the performance of the linear detector deteriorates when the noise distribution becomes skewed. On the other hand, the sign detector appears to be less sensitive to the noise skewness. Furthermore, a modification of the linear detector is proposed. This modified scheme, when the noise skewness measure is small, will behave almost like the linear detector in Gaussian noise.