The duo have enjoyed chart success this year
The Ting Tings have said they would like to be the first band to play on a revived Top of The Tops.
The duo's drummer and guitarist Jules De Martino told Absolute Radio: "We'll force our way onto it."
"Bring back TOTP and let us be the first band to play on it," he said of the show, which was axed in 2006.
Culture minister Andy Burnham recently expressed an interest in the show's return, saying it had been a good vehicle to champion new music.
At the In The City music conference in Manchester earlier this month, he said: "We need a programme like Top of the Pops again."
"This was a great thing that was always putting a great mix of new music before the public."
He added that the music show, which ran for 42 years, was "really important for stimulating the wider interest in the wider population".
The Ting Tings' four chart hits, including number one song That's Not My Name, were all achieved in 2008, two years after the programme's demise.
The Manchester duo's debut album, We Started Nothing, also made the top of the chart.