Ms Skinner’s debut show explores the co-dependency she created with Ms Truss through her parody character.
“The show is about me just trying to get away from Liz Truss,” she said.
“She only lasted the 49 days [as prime minister] so my career started and finished quite quickly.”
Ms Truss resigned as prime minister in October 2022 and lost the South West Norfolk seat she had held for 14 years at the general election.
“She was the shortest serving prime minister, there’s an intrigue and fascination around her,” said Ms Skinner.
However, the comedian said the Liv Struss character meant she remained “one step removed” from the real politician.
“I’ve always been really aware of the fact that there is another person on the other end,” she said.
“I have created a character that is running parallel to her – not her. People are enjoying it and there’s no malice.”