The YouTuber-turned boxer was handed his first defeat in February after losing a split-decision to Fury in Saudi Arabia.
But he snubbed an immediate rematch to instead return with a victory over ex-UFC star Nate Diaz, 38, in August.
Meanwhile Fury now faces Paul's arch rival KSI on Saturday in Manchester.
But according to Paul himself, he has set out to rematch Fury next year after the pair exchanged unlikely direct messages online.
He said on NELK Boys podcast: "We're in talks. We've DMd back and forth like, 'Let's do the rematch in 2024.' So he's down."
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