British Prime Minister Theresa May departs from 10 Downing Street ahead of Prime Ministers Questions session (PMQs) in Parliament, London on May 22, 2019.

British Prime Minister Theresa May could announce her resignation in the next few days, according to U.K. media reports, as she faces pressure from members of her own party to step down.

Downing Street appeared defiant however, with May's spokesman saying she will meet ministers this afternoon and that she was listening "to colleagues about their concerns on the (Withdrawal Agreement) bill," Reuters reported. He also said she was focused on delivering Brexit.

The Withdrawal Agreement Bill is seen as having precipitated the latest crisis in government with lawmakers widely opposing May's attempt to resurrect her Brexit deal that they've already rejected three times.

The Times newspaper reported on Thursday morning that May will announce that she will quit her post as early as Friday. The paper did not cite a source and Downing Street would not comment on the reports when contacted by CNBC.

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May will remain as prime minister while her successor is elected in a two-stage process under which two final candidates face a ballot of 125,000 Conservative Party members, the newspaper said.

Pressure appears to have been mounting on the prime minister to announce her departure in the last 48 hours amid a backlash of her offer of a "new" Brexit plan that she wanted to put before Parliament.

Lawmakers have already rejected May's Brexit deal three times so the prospect of another vote on the withdrawal agreement, that many opposition and Tory lawmakers have already rejected and said had not changed much, was met with disbelief in many quarters.

On Wednesday night, the Telegraph's deputy political editor reported that the influential 1922 Committee (a powerful group of pro-Brexit Conservative party lawmakers) wanted May to announce on Friday that she will step down as party leader by June 10.

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On Thursday, the Guardian newspaper reported that Geoffrey Clifton-Brown, the treasurer of the 1922 Committee, will allow a new no-confidence vote in May if she does not announce her resignation date Friday.

That would mean changing the rules from the status quo that a leader can only face one confidence vote within a 12-month period. May survived a confidence vote last December. A no-confidence vote would likely take place after Trump's state visit as Parliament will be in recess until June 4.

In the meantime, how much support May has from her remaining ministers is yet to be seen. She was dealt a blow Wednesday evening when senior minister Andrea Leadsom quit her post saying that May's new Brexit plan contained "elements I cannot support, that aren't Brexit."

The Telegraph newspaper reported Thursday that May "is under siege" in Downing Street and had refused to meet key ministers Jeremy Hunt and Sajid Javid but later reports suggested that Hunt is due to meet May later Thursday.

Hunt signaled he still backed May, however, telling a reporter that she would still be prime minister when Trump visits the U.K. on June 3. "Theresa May will be prime minister to welcome him and rightly so," he said, Reuters reported.