The Sun reports that the channel has asked for six new episodes of the sitcom.
The programme stars Gregor Fisher as Rab, a Glaswegian who spends his life in unemployment.
The BBC's Cheryl Taylor, who commissions comedies, said: "Rab C is an enduring and iconic comedy creation."
The show ran from 1990 to 1999 before returning for its ninth series earlier this year. The tenth run is expected to air in 2011.