Fury defeated Wilder in October but has not fought since.
He is now in Morecambe Bay preparing for a possible WBC fight with Whyte and has been training with Joseph Parker.
The pair have shared clips of their sessions on social media.
The WBC have ordered the 33-year-old Fury to defend his world heavyweight title against Whyte in a long-anticipated battle.
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And now, Warren has suggested that Fury’s next fight – whether against Whyte or a different opponent – will happen on March 26.
Warren told iFL TV: “Tyson wants to fight be the end of March. As a team we’re looking at other situations as well.
“Whatever happens he will fight on March 26, that’s what the objective is.”
When asked whether the fight will take place in the UK or America, Warren replied: “I’m not going to say where it is.
“We went to some club, he got on the stage, it was crazy. Then we came back to Morecambe, let loose again and then camp started.
“He doesn’t muck around in camp. We don’t muck around in camp. But when we have fun, we have fun. And it’s the best fun.”
If Fury fights Whyte and is victorious, he is expected to face the winner of Anthony Joshua’s clash with Oleksandr Usyk.
Usyk defeated Joshua in September but the latter triggered a rematch clause in their contract. They are set to battle in the spring.