The U.K. government postponed the publication of its new Brexit legislation amid the backlash against the concessions made by Prime Minister Theresa May, who is under renewed pressure to step down.

Government whip Mark Spencer told lawmakers that the latest version of May's thrice-rejected Withdrawal Agreement Bill will be published in the week of June 3, the BBC reported. The government initially hoped to hold the bill's second reading in Parliament on June 7.

May had said the bill, which puts her Brexit deal with the EU into law, was to be published May 24, days after she presented a 10-point offer to Parliament to get the legislation passed.

But the concessions May offered met opposition from several lawmakers from her Conservative Party, including Andrea Leadsom, who resigned as House of Commons leader in protest of May's promise of a parliamentary vote on whether to hold a second Brexit referendum.

More ministers could follow Leadsom and leave May's government, and the prime minister herself was expected to announce her exit May 24, BBC Radio and The Times earlier reported.

Amid the growing resignation calls, May remains focused on delivering Brexit and will have further talks with colleagues, her spokesman said, according to Reuters. She has already agreed to set out a timetable for her departure as the Conservative Party's leader after the next Brexit deal vote.

European Commission President Jean-Claude Juncker criticized U.K. lawmakers for seemingly prioritizing May's ouster over reaching an agreement on a Brexit deal.

In an interview with CNN, Juncker expressed concern that the U.K. may be heading for another extension to the Brexit date, which is now Oct. 31.

"I am getting fed up because we are (just) waiting for the next extension," Juncker was quoted as saying in a CNN report.