Disclosed herein is a shrouded tubular device that includes but is not limited to a tubular member, such as a screen joint; a shroud surrounding at least a portion of the tubular, the shroud is at least a two-piece shroud; and a shim in the annulus between the tubular member and the shroud. By way of example only, the shroud may be located directly radially inward from the joint of two of the shroud pieces. Also disclosed herein is a method for making a shrouded tubular device.