Toure scored his first goal in the 2014/15 season in City’s Premier League win at Villa Park, and Pellegrini is adamant that the 31-year-old’s commitment to the club has never been in question.
"Maybe [he had trouble] with personal problems but he did not have any problem of commitment with the club or anyone at the club," Pellegrini said.
"He has a lot of different things in his private life but he did not want to go anywhere and is absolutely committed to this club.”
Rumours circulated that Toure was set for a big-money Etihad departure during the recent winter transfer window, after he was believed to have had a fall-out with the club for not wishing him a happy birthday in May this year.
However, the Chilean manager believes the midfielder is working hard and will improve as the season progresses, and there are no concerns regarding his place at the club.
"Last season Yaya also played bad games and good games but he scored so many goals that everyone talked about that.
"We are starting the season and the important thing is that Yaya knows that he must improve every game. He is trying to do it so I don't have any concern about him."