The 26-year-old Spaniard has been a major performer for the La Liga giants since his arrival from Valencia back in 2012, developing a reputation as one of the best players in his position on the planet.
His status at Barca has prompted the club to look into securing his long-term future with a fresh contract, but with talks on-going, City are watching.
The Sky Blues are likely to go through a summer overhaul, with their ageing squad having endured a tough 2014/15 campaign, which will culminate in them losing their Premier League crown.
Alba does, however, have a £64m release clause in his current deal, which may have to be triggered should the Citizens look seriously at the prospect of making him an addition.
Financial Fair Play might be an issue for the Middle Eastern-backed side, but they have shown a willingness to use their monetary clout in the past.