News of the World says the Spaniard will become the first world-class signing to arrive at Eastlands in January.
Villa’s agent will arrive in England for talks with City this week.
City boss Mark Hughes is keen to bring in the Spanish hit-man in January.
Reports says Valencia is ready to sell the 27-year-old due to their poor financial position.
A source close to the deal told News of the World: “It is clear City need a world-class striker and Villa fits the bill.
“The Arabs have been impressed with him and Mark Hughes is convinced he will do well in English football.
“His agent will be flying in on Tuesday and there is every chance talks and a deal will be concluded by the end of the week.”