The request was made weeks ago, the source said.
Early indications are the Steelers do not plan to trade Bryant, sources tell ESPN's Jeremy Fowler.
Bryant spoke with Steelers coaches ahead of Week 5 game, asking to be more involved in the offense. According to Bryant, he's upset with target share distribution and sub packages that swap him out for rookie JuJu Smith-Schuster.
Bryant returned this year from a one-year drug suspension and is signed through 2018.
News of the trade was first reported by NFL Network.