The defender completed a move to Celtic last week after being released by Liverpool at the end of last season.
The defender joined Celtic earlier this month, reuniting with Rodgers following his release by Liverpool at the end of last season.
He has been brought in to add some much needed quality and experience to a defence that is lacking in both at this moment in time.
He was unavailable for their clash with FC Astana on Wednesday, but Rodgers says he is expecting him to play some part in the second leg after spending this week working on his fitness.
“I think he will be a lot closer to being available,” he told the club’s official website.
"He’s at a decent level of fitness and has worked in the off-season. So after a good week’s training this week and some game-time at the weekend I would expect him to play some part next week.”
It now remains to be seen whether Toure is the only defender to arrive at Celtic this season.
The defence has come in for stern criticism already this summer, with defender Efe Ambrose coming under particular focus after his display against Lincoln Red Imps.
Many believe that Celtic's current options in the position are not good enough for them if they are looking to compete, and it will be interesting to see if Rodgers believes the capture of Toure is enough to improve his side.