The '90s sketch show - also made by Paul Whitehouse - which ran on BBC Two between 1994 and 1997, will return on November 14.
Higson wrote on Twitter: "A lot of you have been asking when we will be bringing The Fast Show back. The answer is yes."
The 53-year-old also announced that the show's original castmembers will reprise their roles, with the exception of Mark Williams - best known now for portraying Arthur Weasley in the Harry Potter films.
Royle Family creator Caroline Aherne, who did not take part in one-off special Last Fast Show Ever in 2000, will appear. The Fast Show also starred Arabella Weir, John Thomson and Simon Day.
"We will have all the old team back together, including Caroline, but sadly not Mark Williams. All the popular characters," Higson added.
It was previously claimed by Bleeding Cool that The Fast Show's return would be produced by Fosters, where it would sit alongside Vic and Bob's Afternoon Delights and Alan Partridge's Mid-Morning Matters.
Meanwhile last year, Brand Republic quoted Fosters marketing manager Gayle Harrison as saying that the Fast Show was among the brands the company wanted to commission.
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Watch a classic clip of the Fast Show below (mature content):