MPs and peers will return to Parliament later after the Supreme Court ruled that its suspension was unlawful.
Boris Johnson, who is flying back early from a UN summit in New York, faces calls to resign from opposition groups.
The PM has said he “profoundly disagreed” with Tuesday’s landmark ruling but he would respect it.
There would be no Prime Ministers’ Questions but urgent questions and ministerial statements would be heard, Commons Speaker John Bercow said.
Following Tuesday’s unanimous ruling, Labour leader Jeremy Corbyn brought forward his party conference speech so he could return to Westminster on Wednesday.
He told delegates in Brighton that Mr Johnson had “acted illegally when he tried to shut down opposition” and “this unelected prime minister should now resign”.
On Tuesday, the court ruled it was impossible to conclude there had been any reason – “let alone a good reason” – to advise the Queen to prorogue Parliament for five weeks in the run-up to the Brexit deadline of 31 October.
Mr Johnson, who was attending the UN General Assembly in New York, spoke to the Queen after the ruling, a senior government official said, although no details of the conversation have been revealed.
The prime minister also chaired a 30-minute phone call with his cabinet.
A source told the BBC the Leader of the Commons, Jacob Rees-Mogg, said to cabinet ministers on the call that the action by the court had amounted to a “constitutional coup”.