The Premier League side will have to see off competition from Spanish giants Real Madrid for the 23-year-old.
The 23-year-old has endured a mixed season at Juventus Stadium, but the Star reports that he is also being chased by former club Real Madrid, who can re-sign the forward for £20m this summer.
But the Star suggests that a return to the Bernabeu would not necessarily mean the end of the speculation surrounding Morata, as both clubs reportedly chasing his signature also want to sign Paul Pogba from the Old Lady, and the Citizens are supposedly willing to pull out of the race to sign the former Manchester United man if it means that they can negotiate a deal for the striker.
City's desire to land Morata is perhaps slightly confusing. The Spaniard has scored just six goals in Serie A this season despite making 30 appearances in the top flight.
And with Sergio Aguero scoring a hat-trick against Chelsea to take his tally to 21 goals for the campaign, it is unlikely that the Morata will be anything more than a back-up option for the Argentinian next season, which makes the fee that may be required to sign the Juve man seem incredibly high.