It decided to hold an election to its executive before changing the rules to bring forward a confidence vote in Johnson.
A spokesperson said Johnson was confident he would win a confidence motion.
Johnson was steadfast in his desire to carry on.
Arriving in parliament for the appearance, he responded to questions over whether he would quit with the words: "No, no, no." He told the liaison committee that he would carry on to deliver on his programme with which he won a 2019 election, sarcastically suggesting that he was having a "terrific" week.
"Frankly, the job of a prime minister in difficult circumstances when you've been handed a colossal mandate is to keep going," Johnson told parliament. "And that's what I'm going to do."