The I'm a Celebrity star left the ITV2 show last year, and has since hosted Take Me Out spinoff The Gossip.
Wright said that he will make a cameo appearance in order to cheer up his friend James 'Arg' Argent, who will be having his first Christmas in several years without ex-girlfriend Lydia Bright.
He told The Sun: "Arg is a bit down right now, so I'm doing this for him. I know how excited he will be.
"It should be great fun and I'm looking forward to catching up with old friends."
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"Mark has been dishing out some tough love and telling Arg what he really thought of what he's been up to," a show insider said.
"Mark slates him for charging into the sea with just his pants on that time. Arg is sucking it all up as he knows Mark has his best interests at heart."
Producers have filmed the scenes in question, which will air on ITV2 next Wednesday (December 19).