Adrian Edmondson, Dawn French, Rik Mayall, Nigel Planer and Jennifer Saunders were among the regular cast members, while Peter Richardson has been the show's key writer during its 30-year stretch. The show has previously aired on the BBC and Channel 4.
Gold's 30th anniversary special, The Comic Strip Presents: Five Go To Rehab, will return to the show's characters and setting from its debut episode in 1982 - Five Go Mad In Dorset.
According to industry magazine Broadcast, the channel is in talks with original cast members French, Edmondson, Saunders and Coltrane about the special.
Commissioning executive Sarah Fraser said that the show "underlined the scale of ambition" at Gold. Earlier this year, the broadcaster announced plans to reboot classic BBC comedy series Yes, Prime Minister.
The most recent revival of The Comic Strip, last year's Hunt for Tony Blair, starred Robbie Coltrane, Stephen Mangan and regulars Mayall, Saunders and Planer.