Health minister Maria Caulfield has attempted to downplay the results of the local elections, which saw the Conservatives lose hundreds of seats and a dozen councils.
She said the results were "disappointing", but claimed opinion polls had overestimated Labour's lead over the Tories.
Rather than a 20-point lead, Ms Caulfield says Labour are seven to nine points ahead.
The minister adds: "Experts are saying if this was reflected in a general election then actually Labour wouldn't be winning a majority, it would be more like a hung parliament, and then depending on parties like the Lib Dems and the SNP to form a government.
"Our message from that is that we need to continue to deliver on the priorities that people have asked us to deliver on, and come a general election they will have a much tougher choice to make.
"Whether they want Keir Starmer as their prime minister, or Rishi Sunak, who is delivering on things."
She points to improvements to the economy and their policy on small boats.