Push roll spools for engaging and driving softened glass tubes over a shaping mandrel. A push roll spool for use in processing a glass tube may comprise a base having first and second axially spaced ends, and multiple sheets of heat resistant material disposed on the base between the axially spaced ends, forming an axially extending stack. The stack may have a circumferential, generally U-section groove having a profile defined by the peripheral edges of multiple said sheets having different diameters. The U-section groove may be sized to engage and drive a glass tube. The U-section groove may have two contact areas at which to engage and drive a glass tube. The heat resistant material may comprise mica or a mica composition, for example mica paper or ceramic fiber millboard.