Tape layup systems and associated methods. A tape layup system includes a feed spool and an uptake spool. The feed spool is configured to carry a tape roll of tackifier tape that includes a tackifier material and a backing material, and the uptake spool is configured to carry a backing material roll of the backing material. The tape layup system further includes a torque transmission system configured to convey a torque from the feed spool to the uptake spool. The tape layup system is configured such that conveying a torque from the feed spool to the uptake spool operates to draw the backing material onto the backing material roll. A method of operating a tape layup system includes generating tension in a tackifier tape to rotate a feed spool and consequently rotating an uptake spool to draw a backing material onto a backing material roll.