Rodri has been injured since Manchester City's 2-2 draw with Arsenal in September, where he damaged his ACL, and as a result, City have seen their form falter.
They have lost their last three competitive games against Tottenham, Bournemouth and Sporting CP respectively, and even in their victories have looked less than convincing in the absence of the world's best defensive midfielder.
As such, City are considering signing Brazlian midfielder Ederson, according to the i - a player with similar traits to the Spaniard, and who currently plays for Italian side Atalanta. Real Sociedad's Martin Zubimendi and Samuele Ricci of Torino have also been touted as potential targets recently.
Should they go after any of them in January, it would represent a shift away from the existing recruitment plan, which in recent years has been to do all their business in the summer.