City turned down a ?40million bid from the Brazilian club last week, with City believed to be holding out for ?50million for a player who finished as joint top scorer in the Barclays Premier League last season with 20 goals.
However, speaking on the club's pre-season tour of North America, Mancini said: 'We have an agreement with Corinthians but Carlos now is still a City player.'
Eastlands exit: City have agreed a fee with Corinthians
The Sao Paulo club moved for the Argentina striker after being alerted by Tevez's admission earlier this month that he wished to leave City for the sake of his family, with his two children based in his homeland.
Corinthians president Andres Sanchez last week claimed Juventus had entered the race to sign Tevez but insisted his own club would not increase their offer for the wantaway South American.
Crashing out: Tevez has been on duty in Argentina at the Copa America
Tevez's advisor, Kia Joorabchian, revealed a few days ago that a deal with Corinthians was "close", with the player himself keen on a return to the club he previously represented between January 2005 and August 2006.
The 27-year-old, who joined City from Manchester United in summer 2009 and has also previously played for West Ham, is under contract at City until June 2014.
Out on a high: Tevez helped City to lit the FA Cup last term but could be finally saying goodbye
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Source: Daily Mail
Source: Daily Mail