The 28-year-old has been an important member of Pep Guardiola's squad since arriving from Athletic Bilbao in January 2018, featuring in 155 games across all competitions.
However, Fichajes reports that the Premier League champions are looking to freshen up their first-team squad and Laporte is one player who they are willing to place on the transfer list.
It is understood that Gabriel Jesus, Raheem Sterling, Ilkay Gundogan, Oleksandr Zinchenko and Nathan Ake also face uncertain futures at the Etihad Stadium.
The report adds that City have identified Inter Milan duo Alessandro Bastoni and Milan Skriniar as well as Atletico Madrid's Jose Gimenez and Villarreal's Pau Torres as potential centre-back targets should they decide to sell Laporte.
Spanish giants Barcelona and Atletico are believed to have been alerted by Laporte's situation, with both clubs on the lookout for an elite central defender this summer.
Juventus have also been linked with the 15-cap Spain international, who still has three years remaining on his Man City contract.