The 24-year-old wants his family to star alongside him in a format similar to Keeping Up With The Kardashians, according to The Sun.
A source said: "Mark is desperate to star in his own show. He feels he has outgrown TOWIE.
"His family are all keen to get involved too as they'll earn more money than what TOWIE are prepared to offer them. He's confident his own reality show will be a ratings hit."
Wright, who is said to be leaving The Only Way Is Essex at the end of the current third series, is widely expected to appear on I'm a Celebrity... Get Me Out of Here! when it returns to ITV1 next Sunday.
He will use his stint in the jungle to boost his fame and will pitch his new show to several broadcasters, the report adds.
Amy Childs, who quit The Only Way Is Essex to star in Celebrity Big Brother, recently backed Wright's plans to quit the ITV2 reality series.