New Prime Minister Liz Truss used her victory speech to pledge to "deliver on the energy crisis" by dealing with bills as well as supplies.
A freeze on energy bills is understood to be one of a number of options being worked up in Whitehall to help struggling households to cope with the soaring cost of gas and electricity.
Energy industry sources expect the government to back freezing bills.
Ms Truss won out against rival Rishi Sunak with 57% of party member votes.
"I will deliver on the energy crisis, dealing with people's energy bills but also dealing with the long term issues we have on energy supply," she said.
In response, Labour leader Sir Keir Starmer said: "There can be no justification for not freezing energy prices.
"There's a political consensus that needs to happen. She needs to ask the question how she's going to pay for that. Labour made it clear, it needs to be a windfall tax on oil and gas companies."
Ms Truss's team is understood to have been working on a support package for energy bills "for weeks". An announcement on what they will do is pencilled in for this Thursday.
"Lots of measures have been considered, some have progressed and some have not" a source said. Her team have not denied they might introduce a freeze on energy bills.
There have been multiple meetings between the government and the energy industry.
Nadhim Zahawi, the current chancellor who is expected to stay on in another role, is understood to have been involved in conversations with industry leaders about the plan on a recent trip to the US.
Business groups welcomed Ms Truss's appointment but urged her to take "big bold action" to help firms who, unlike households, are not protected by an energy price cap.
Federation of Small Businesses chairman Martin McTague said soaring energy bills "must be addressed urgently."
CBI director general, Tony Danker, said: "The exceptional circumstances we now face mean Government must play a central role in supporting our economy.
https://www.bbc.co.uk/news/business-62791113