The foreign secretary is the clear favourite after a campaign that has seen her prove popular with Tory members while being backed by a number of high-profile Conservative MPs and ministers.
However, in her own constituency of South West Norfolk, there is a distinct lack of enthusiasm in their MP's bid to be the country's next prime minister.
Truss has been MP in the ultra-safe Tory seat since 2010, when she secured a 13,000 majority over Labour.
Since then she has steadily become more popular and was untouchable in the 2019 election, winning with a 26,000 margin.
In Thetford, a market town close to the border with Suffolk, businesses on the picturesque high street are anxious about their prospects under a Truss government – with the cost-of-living crisis dominating the agenda.
"The cost of supplies has rocketed," says Sharon, the 48-year-old owner of Technique's hairdressers in Thetford town centre, which she opened 14 years ago.
"Some customers used to have their hair done every week, now they have it done every fortnight," she tells Yahoo News UK.
"Or they're not going to come in every six weeks, they want to come in every eight or 10."
Trevor, the 60-year-old owner of The Railway Tavern next to Thetford station, is worried about the rise in the cost of products.
"Cleaning products cost more week to week," he says. "Even stuff for decorating has gone up – we've just opened, so we're still decorating and its become more expensive."
He fears that he will have to pass the cost on to customers who will be struggling with rising costs, too.
David, 54, owns a small tech accessories store on Thetford's high street. "I've switched this fridge off," he says.
"I know it's only a small shop, but I'm noticing the the rise in running costs – I'm worried about it."
Anwar, a 59-year-old ice cream man in the heart of town, said he's also seeing an impact.
‘There’s a market here... look at that," he gestures to the empty square.
"There’s no one in town… we’re seeing a big drop in footfall."
All the businesses Yahoo News UK spoke to in Thetford said they worry they'll have to close.
So do locals think their MP has a plan?
"Liz Truss doesn’t have any answers," says Trevor. "She doesn’t seem to be doing much."
He has seen Truss twice in the constituency, observing that "it seems like she's waiting for the leadership contest to be done." But, he warns, help is needed urgently.
"The government need to do something very, very quickly... energy company profits should be capped, why should they be making such massive profits when people are struggling so much?"
Sharon, who did not know Truss was her MP, admits she's not following the contest that closely, but says she does need to act.
“Liz Truss, I don’t seem to like her as much [as Rishi]," she says. “But at the minute, we’re all just waiting for the help to arrive.”
Anwar, like Sharon, hasn't followed the contest closely – and does not know what Truss would do if she wins.
"She’s been round here a few times," he says. "I'll be honest, I've not been following it all that closely. But people want to see this cost of living sorted out."
He adds: ‘Why are [energy companies] messing around with this electric and gas? The government are making billions out of it, the companies are making billions out of it."
And over at the tech shop, David questioned if MPs understand what people are going through.
"I don’t know if MPs all live in the real world," says David.
It seems Truss's promises of driving growth through slashing taxes is yet to cut through with her constituents, whose concerns about the cost of living crisis dominate the conversation.
Unless she manages to persuade the country she is on their side during the crisis, this is a challenge she will continue face nationally when the contest draws to a close on 5 September.
Watch: Truss attacks ‘Treasury orthodoxy’ as she promotes tax-cutting leadership pitch