Methods of making a fiber-reinforced thermoplastic polyurethane composite are described. The methods may include applying a sizing composition to a plurality of fibers to make sized fibers, where the sizing composition may include at least one curative for a thermoplastic polyurethane prepolymer. The sized fibers may be contacted with a thermoplastic polyurethane prepolymer composition to form a resin-fiber amalgam, where the thermoplastic polyurethane prepolymer composition includes 50 wt. % or less of a total amount of the curative that is also present on the sized fibers. The resin-fiber amalgam may then be cured to form the fiber-reinforced thermoplastic polyurethane composite.