Junkin was selected in the first round with the fifth overall pick in the 1987 NFL Draft by the Cleveland Browns. To acquire him, the Browns traded Chip Banks along with their first and second-round picks to the San Diego Chargers for their first and second-round picks.
In the 1987 NFL draft, the Cleveland Browns selected Junkin as the fifth overall pick. They acquired him by trading Chip Banks and their first and second-round selections to the San Diego Chargers in exchange for their own first and second-round choices.