An absorbent structure can include a matrix of fibers, wherein the matrix is reinforced with a reinforcing member, such as scrim. The scrim is secured to the fibrous matrix by entanglement of fibers with the scrim and entanglement of fibers in the matrix from opposite sides of the scrim with each other. The scrim layer can be restricted to a longitudinally extending, medial region of the absorbent. In a particular arrangement, the scrim has a cross-directional width dimension which is less than a narrowest width dimension of the fibrous matrix. The scrim can be located between two, opposed, major surfaces of the fibrous matrix. The scrim has a reduced stiffness in the cross direction which promotes fit and comfort of the absorbent structure as incorporated into a disposable absorbent garment.