The Frenchman has a contract with RB Leipzig until June year 2023, but it is understood that there will be a €45m (£39m) release clause in his contract during this summer's transfer market.
The Red Devils and Arsenal have both been linked with an interest in the France International, who has netted once in fourteen outings at club level during the current campaign.
Falk claims that the London club's new assistant gaffer Zsolt Low could play a role in convincing Ibrahima Konate to move to Chelsea, having coached the centre-defender at RB Leipzig before he followed now-Chelsea manager Thomas Tuchel to PSG.
The France International has only just returned to action following a stint on the sidelines with an ankle issue.
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