"I’m confident that the prime minister will go into the Conservative Party conference and beyond, securing a good Brexit deal for Britain… Theresa is our leader and I think she's going a great job," Gove said in an interview.
In turn, a source in the Conservative Party, belonging to "moderate pro-Europeans," told Sputnik that May was most likely to remain in her position until Brexit.
The source added that in the long term, May would have to struggle to keep the post.
Some members of the Conservative Party group said that they have already submitted letters of no confidence in the UK prime minister. According to the party rules, the leadership is up for re-election if 15 percent of Conservative lawmakers write to the backbench chairman and urge a vote of no confidence, according to the broadcaster.
May’s Cabinet has been under an intense scrutiny over Brexit as well as a number of domestic issues, such as mistreatment of so-called Windrush migrants.
Last week, former UK Foreign Secretary Boris Johnson called the government Brexit plan, the so-called Chequers deal, a "disaster."