Tuchel is eager to strengthen his long-term centre-half options, with Andreas Christensen, Toni Rudiger, Thiago Silva and Cesar Azpilicueta all off contract in June.
L'Equipe says France international Kimpembe is on Tuchel's radar.
The pair worked together at PSG and Tuchel is keen on a reunion, particularly knowing the stopper is unsettled in Paris.
While he has a deal to 2025, Kimpembe was put out this summer when PSG chose to bring in former Real Madrid captain Sergio Ramos.
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