Media Week has claimed Archant chairman Simon Bax, pictured left, is in the running for the job, set to be vacated by Lord Burns.
Simon, a former chief financial officer with Twentieth Century Fox and Pixar, has been at Archant since April 2014.
Mark Price, the departing managing director of Waitrose and current deputy chairman of Channel 4, is still considered the frontrunner to replace Lord Burns.
The government is considering a £1 billion privatisation of Channel 4 and must approve the new chairman, who is appointed by Ofcom.
Media Week reports the regulator held interviews before Christmas and is keen to make an appointment by the end of the month.
An Archant spokesperson said: “Archant’s policy is never to comment on speculation around members of staff.”