Abstract: An optical collimator is provided for ready fitting to an optical device with precise optical alignment, to obviate the need for adjusting the collimator during assembly to the optical device to compensate for a translational offset and an angular deviation. In an embodiment, the collimator has a sleeve with an outer cylindrical surface that is concentric with the output optical path, which has a translational offset and an angular deviation with respect to the collimator axis. A method is provided for making such a collimator for ready fitting to an optical device with precise optical alignment. In an embodiment, a portion of an outer sleeve of the collimator is removed according to the offset and the deviation to form an outer cylindrical surface that is centered about an axis which coincides with the optical path emanating from the collimator, to allow the collimator to be readily fitted to an optical device.