A ball socket assembly, bearing therefor, and method of construction thereof are provided. The ball socket assembly includes a housing with an inner bore extending between a closed first end region and an open second end region. A fiber-reinforced bearing is disposed in the inner bore. The bearing has a lower portion presenting a lower bearing surface having a first radius of curvature and an upper portion presenting an upper bearing surface having a second radius of curvature that is greater than the first radius of curvature. The lower bearing surface and the upper bearing surface surround a ball cavity in which a spherical ball portion of a ball stud is disposed. The housing second end region is plastically deformed radially inwardly to impart a bias on the bearing upper portion that causes the second radius of curvature to be biased substantially equal to the first radius of curvature.