British MPs will return to the Parliament later Wednesday after the top court ruled that its suspension was unlawful.
The House of Commons will reconvene at 1030 GMT.
Prime Minister Boris Johnson, who said he "profoundly disagreed" with Tuesday's landmark ruling, is flying back early from a UN summit in New York.
"We in the UK will not be deterred from getting on and delivering on the will of the people to come out of the EU on October the 31st, because that is what we were mandated to do," he said.
Meanwhile, opposition leader Jeremy Corbyn, who was also forced to bring forward his set-piece annual conference in Brighton, has repeated his demand for the PM to step down.
"Boris Johnson has been found to have misled the country. This unelected prime minister should now resign," he said.
On Tuesday, the Supreme Court ruled that Johnson's decision to suspend it for five weeks was unlawful and therefore null and void.
Two powerful earthquakes struck Venezuela on Wednesday, killing at least 32 people and injuring 700 more as buildings collapsed in and around the capital Caracas, interim President Delcy Rodriguez said.
President Donald Trump's administration has asked the US Congress on Wednesday for $87.6 billion in additional funding, most of it related to the Iran war, setting the stage for another fight with lawmakers already frustrated with the conflict.
An earthquake of magnitude 6.9 has struck Japan's northeast coast on Thursday, but no tsunami warning was issued, no injuries were immediately reported and no irregularities were found at nuclear facilities, the authorities said.
US President Donald Trump has stated on Tuesday that Iran had agreed to nuclear inspections into "infinity," while Tehran said it had made no such concession in negotiations, raising questions about the viability of their fragile peace deal.
Oman has coordinated with the International Maritime Organisation (IMO) to establish a temporary maritime corridor for vessels transiting the Strait of Hormuz, according to its local news agency.