The pair, who created and starred in the UK comedy, could apparently earn up to £5 million each if the show becomes a success for Fox.
It was announced earlier this week that a US version is in the works, with Corden and Jones serving as executive producers on the project, alongside I Just Want My Pants Back writer David Rosen, who will work on the script.
They will be paid £20,000 each for the pilot episode and a further £175,000 each if Fox commissions a series, The Sun reports. A second series would result in large cash sums.
A source said: "If it takes off as everyone hopes, they can sit back and watch the money coming in."
BBC Worldwide Productions and Sony Pictures TV are producing the show with the company behind the UK series, Baby Cow Productions. Henry Normal, executive producer of the UK version, will fulfil the same role on the US remake.
ABC previously attempted to adapt the series in 2009 with Stacy Traub and Hayes Jackson as writers.