MPs and peers will return to Parliament later after the Supreme Court ruled that its suspension was unlawful.
Boris Johnson is returning early from a UN summit in New York, while Labour cut its conference short in the wake of Tuesday's unanimous ruling.
The PM, who has faced calls to resign, has said he "profoundly disagreed" with the decision but would respect it.
Commons Speaker John Bercow has said there will be "full scope" for urgent questions and ministerial statements, the BBC reported.
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".
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