Prime Minister Boris Johnson is travelling to Brussels with an agreed withdrawal arrangement.
Mr Johnson is en-route to the Belgian capital, following days of negotiations between cabinet MPs and the Northern Irish Democratic Unionist Party.
The EU Commission will meet later on Thursday to discuss the details of the arrangement, with President Junker encouraging the commission to pass the deal.
If agreed, it is likely parliament will meet on Saturday to vote on whether to accept it.
It will be the first time since the Falklands War the Commons has sat on a weekend.
Mr Johnson tweeted: “We’ve got a great new deal that takes back control. Now Parliament should get Brexit done on Saturday so we can move on to other priorities like the cost of living, the NHS, violent crime and our environment.”
President of the EU Commission Jean-Claude Junker tweeted: “Where there is a will, there is a deal – we have one!
“It’s a fair and balanced agreement for the EU and the UK and it is testament to our commitment to find solutions. I recommend that EU commission endorses this deal.”
Speaking to press ahead of the summit, chief negotiator for the EU Michel Barnier said the process had been difficult.
He said: “Brexit is a school of patience.
“The UK government wanted to open one point on the previously agreed arrangement.
“Throughout negotiations the UK and the EU was fully committed to protecting peace on the island of Ireland – by avoiding a hard border and preserving the all-Ireland economy and Northern Ireland remaining part of the UK customs territory.
“Discussions have been difficult, but we have delivered a deal and delivered it together.”
Labour leader Jeremy Corbyn said: “From what we know, it seems the Prime Minister has negotiated an even worse deal than Theresa May’s, which was overwhelmingly rejected.
“These proposals risk triggering a race to the bottom on rights and protections: putting food safety at risk, cutting environmental standards and workers’ rights, and opening up our NHS to a takeover by US private corporations.
“This sell-out deal won’t bring the country together and should be rejected. The best way to get Brexit sorted is to give the people the final say in a public vote.”