The reports states that talks have been ongoing between the Black Sea based side and Senderos over the past week.
Senderos is expected to arrive in Turkey in the near future to undergo a medical with Rizespor and put pen-to-paper on a two year deal.
Senderos has a year left on his contract with Aston Villa but is expected to leave this summer after making just eight appearances for the Premier League side last season.
The Switzerland international has previously played for Arsenal, Fulham, Everton, AC Milan and Valencia. Senderos played 633 minutes of Premier League football last season. The 30-year-old has 55 caps for the Swiss national team.
Rizespor ended the 2014-15 season in 14th place with 36 points in 34 games. The Black Sea based side signed 20 players and offloaded 15 players during the current transfer window.