London (CNN) British Prime Minister Theresa May is expected to bring her EU withdrawal bill back to Parliament for a fourth vote, according to reports in UK media.

Downing Street refused to comment on the prospects of a fourth vote when contacted by CNN, but Conservative Party Chairman Brandon Lewis did not rule out the possibility in an interview on BBC Radio 4's Today program on Saturday.

Lewis said MPs must consider possible next steps given that the updated Brexit deadline of April 12 is approaching.

"Parliament will continue this process on Monday and we need to look at all the options," he said.

May's proposals have already been voted down three times in a bitterly divided Parliament, although the scale of each defeat has been falling.

Read More