The 19-year-old has emerged as one of Ligue 1’s top talents in recent times, and is already a key member of his club side’s first-team.
A number of teams across Europe are thought to be watching his progress closely, but Mourinho is keen to beat his rivals with a move next month.
Saint Etienne are aware that they may be unable to hold onto their young star for much longer, and could look to cash in if a bid in the region of £10m is received for the teenager.
Despite his age, Zouma already has a reputation for his ferocious playing style, and is currently serving a 10-game ban after a horror challenge that left an opponent with a broken ankle.
Despite this, Mourinho feels that he could be the player to bolster his rearguard and eventually replace club icon John Terry.
‘The Special One’ is toying with the idea of letting David Luiz leave, and may be willing to do so with the prospect of the Brazilian and being swapped for the Frenchman likely to bring a huge profit for investment elsewhere in his squad.