May said on Tuesday a bill she plans to present to Parliament next month would include a provision to vote on whether to hold a second referendum to leave the EU, a key demand of many opposition lawmakers.
May also offered closer trading arrangements with the EU as another incentive in what she called a “last chance” opportunity to finalize a Brexit deal.
Speaking before the House of Commons on Wednesday, May implored lawmakers to support her bill, warning a rejection would lead to “division and deadlock.”
May said her withdrawal bill would be disclosed Friday so that lawmakers would have time to study it.
Legislators previously spurned May’s exit deal three times and her latest attempt to win support faces an uphill fight. She plans to ask lawmakers to vote on the bill again during the week of June 3.
Members of May’s own Conservative Party accused her of relenting to pro-EU demands while opposition Labour Party lawmakers rejected her latest plan as too little too late.
On Tuesday, May said after Parliament votes on the measure, she will establish a timetable for her departure as leader of the Conservative Party and as prime minister.
A growing number of Conservative Party members, however, are pressing her to cancel the vote and step down sooner.
May is likely to face even more pressure when the results of this week’s European Parliament elections are released, as the Conservative Party is expected to suffer heavy losses.
The election will be held in Britain on Thursday, but the results won’t be announced until all European countries have finished voting late Sunday.
British citizens voted in a referendum to leave the EU three years ago and the country was scheduled to leave the EU on March 29, but the 28-nation bloc extended the deadline until October 31.