Stephen Timms could soon be the new Communications Minister, the Guardian has reported.
According to the newspaper, Mr Timms is being lined up to take over the role in order to help the government fulfil its Digital Britain ambitions.
It is thought that the Treasury minister's main task would be to formalise plans to fund the delivery of next-generation super-fast broadband in the UK.
This could involve confirming that each phone line in the UK will have an annual £6 charge in order to help pay for the delivery of universal 2Mb broadband.
If appointed, Mr Timms will work across the Department for Business, Innovation and Skills and the Treasury.
Lord Carter, the outgoing Communications Minister, published his final Digital Britain report in June this year.