During coal mine operations, roadways may be located close to faults. When designing these roadways, it is important to determine the width of the rock mass between a roadway and a fault area to prevent water inrush. In this paper, the Xintian Coal Mine in the northern Guizhou Province of China is selected as a typical case. Through numerical simulation based on orthogonal tests, range analysis, and multiple linear regression (MLR) analysis, the process of water inrush from faults in excavation roadways is studied. The results show that the influencing factors of the safe width of a rock mass preventing water inrush (RMPWI) can be ranked according to the degree of influence from large to small as follows: the hydraulic pressure of the fault, the surrounding rock grade, the overburden depth of the roadway, the cross-section height, and the dip angle of the fault. Among them, the dip angle of the fault, the cross-section height, and the surrounding rock grade are negatively correlated with the safe width, while hydraulic pressure of fault and overburden depth of roadway are positively correlated with safety width. The predicted value for the safe width based on MLR is greater than the measured value of the width of the RMPWI when water inrush occurs, but less than the calculated value based on the empirical formula in the standard, which proves the accuracy and practicability of the prediction method. This research provides a certain basis and reference for the prevention and control of water inrushes in mines.