Crack bridging from an elliptical hole in fiber-reinforced ceramic composites is studied. For some fiber-reinforced ceramic composites, matrix toughness is much less than the toughness gained in the bridging zone, i.e. the bridging zone runs across the entire width of a specimen at a small load. In such case, load-carrying capacity of the specimen only depends on one parameter which is the measure of notch sensitivity. Solving the crack bridging problem for various aspect ratios of the elliptical hole and various bridging law shapes, the role of crack bridging from the hole is determined. The results presented may be used to guide design in addition to providing an improved understanding of the mechanism of fiber-matrix failure.