The receiver will meet with Jones on Friday, NFL Network Insider Ian Rapoport reported.
The news was first reported by 105.3 The Fan in Dallas.
The long-awaited meeting between Bryant and ownership comes before the Cowboys open their offseason workouts on Monday. Bryant is due $12.5 million with at $16.5 million cap hit in 2018.
The decline of the 29-year-old receiver, who hasn't passed the 900-yard mark since signing his new contract in 2015, has put Bryant's future in Dallas in jeopardy.
Jerry Jones has consistently backed Bryant this offseason, but comments by other members of the Cowboys' brass, including EVP Stephen Jones, kept the wideout's future in question.
Hopefully Friday's meeting will bring some finality to Bryant's lingering situation.