But the RB Leipzig defender is being strongly linked with a move to Bayern, meaning Chelsea may have to turn their attentions elsewhere.
And signing Boateng would certainly get the seal of approval from Tuchel, who reportedly tried to sign him on two separate occasions during his time in charge of Paris Saint-Germain.
Bringing in another defender though means Chelsea will almost certainly have to offload at least one of their current options.
Zouma had been a regular starter under Frank Lampard but the 26-year-old is yet to make an appearance since Tuchel came in.
Tomori’s future is also uncertain as Milan have an option to buy him at the end of his loan spell for £27million.