On March 5, 2002, Robinson signed with the Dallas Cowboys. However, on August 20, he tore his ACL during training camp. He was placed on Injured reserve on August 27, ending his streak of 144 consecutive games played through his career, and underwent surgery on September 13. He missed the season while rehabilitating from the surgery. However, while on Injured reserve, he joined other injured Cowboys players on Thanksgiving week to attend a holiday party for 200 terminally ill and mentally challenged children hosted by Papas Brothers Steakhouse in Dallas.