A noncontact web stabilizer is provided in which members located on opposite sides of a web reduce out-of-plane web vibrations. Specifically, a first member is located on one side of a web and a second member is located on the opposite side of the web. Both members are positioned so that the distance between the web and the members decrease in the direction that the web is moving, creating opposing regions of high pressure that force the web toward its nominal running position, thereby reducing out-of-plane web instability.