According to the Daily Mail, the striker is hoping to join City's tour of South Africa, which departs on Wednesday, with a five-year contract worth £150,000 a week agreed and he is believed to have turned down offers from Chelsea and Liverpool.
After spending an unhappy spell on the bench at Old Trafford, Tevez is reported to favour a move to a club with more chances of first-team action; while Mark Hughes has been able to persuade the 25-year-old of the long term ambition of the club.
City's signing of £12m midfielder Gareth Barry from Aston Villa and striker Roque Santa Cruz, who cost £18m from Blackburn, has underlined their buying potential, with Chelsea captain John Terry still a target along with Everton's Joleon Lescott, Kolo Toure of Arsenal and FC Porto's Bruno Alves.
Although a move for Barcelona's Samuel Eto'o has apparently fallen through, Sport report that City may also try to sign Luis Fabiano from Sevilla.
Fabiano, who is closing on a move to AC Milan, has hinted through his agent that he would only consider a move to the Rossoneri, although may be tempted by the wage packet on offer and the fact that fellow countryman Robinho plies his trade at Eastlands.