Shop for Heavy Transfer Paper. In stock, ready to ship. Heavy Transfer Paper performs well on larger thermoplastic sheets. With heavy transfer paper there is less opportunity for wrinkling, tearing, and fly aways, and less disruption of patterns or prints during the application process. A wide variety of patterns and colors perfect for both children and adults are available. Stocked materials typically ship in 2-5 business days. Can’t find what you need? Get a quote.