The prime minister is to visit Scotland on Wednesday as she tries to create support for her Brexit barrel before the next month's vote in the Commons.
Theresa May will require the agreement to safeguard jobs and provide new opportunities for exporters as it meets factory workers in Glasgow.
Brexit's agreement won the support of EU leaders at the weekend.
But he has faced strong opposition by opposition – as well as a lot of MPs himself.
The visit of the prime minister was the day after the First Minister, Nicola Sturgeon, revealed an analysis paper and claimed that the Brexit bargain could cost Scotland's £ 9bn in Scotland by 2030, to compare and who had stayed in the EU.
Ms Sturgeon, who wants the UK to continue permanently in the same market and customs unions, and has support for another referendum on Brexit terms, has said that the MP's MP MP in Westminster will vote against the agreement on December 11th.
The Labor Party, the Liberal Democrats, Democratic Unions and many Conservative MPs also oppose the proposals on both sides of the Brexit debate.
Mrs. is currently looking unlikely to win the parliament's support for the bargain, and warned she is the only one on board – and her voting would lead to & # 39; The UK will leave the EU on March 29 next year with no bargain in operation.
At the forefront of the Prime Minister of Scotland, the UK government said that the agreement that arrived in Brussels on Sunday created a free trade area for goods with no tariffs, fees or payments – which he says is the first agreement of a type between a higher economy and the EU.
It has also highlighted the support that the bargain has recently received from Diageo, the National Farming Union of Scotland, the Whiskey Association of Scotch and the BAE Systems, which has also warned of "no bargain" results for Scotland .
And it has insisted that the agreement will leave the UK free to trade itself with other non-EU countries for the first time in four decades – and will allow Scottish fishermen to " recruiting our waters "when leaving the deep unpopular Common Fisheries Policy.
The prime minister will say: "It's a good deal for Scottish employers who will safeguard jobs. It includes a new free trade area with no tariffs, fees, quantitative restrictions or silly origin rules – an unexpected economic relationship that has not been followed by another big economy.
"At the same time, we will be free to strike our trade trades ourselves around the world, giving even more exporters to Scotland's exporters.
"I welcome the strong support that employers have given to the bargain and the certainty that it provides."
Mrs May will also promise that the deal "will ensure we leave EU programs that do not work for our interests".
It will add: "We will therefore not be out of the Common Agricultural Policy, which has failed our farmers, and out of the Common Fisheries Policy, which has Scottish communities so tired.
"Ultimately, we will be an" independent coastal state "again – taking full sovereign control over our waters, and free to decide for ourselves who we allow fish in our waters.
"I have been firm in protecting the interests of Scottish fishermen to date, and I will always be so."
The trip to Scotland is the latest stop in a two week trip by Mrs May as she tries to promote and sell her deal to the public and business.
On Tuesday, the prime minister made similar visits to Wales and Northern Ireland – where he was faced with criticism by the leader of the Democratic Union Arlene Foster, whose party has a parliamentary agreement to support the Conservative government in key votes.
Ms Foster claimed that the prime minister had "put her up" on trying to hit a better deal with the EU – a charge that Mrs May refuses.
Meanwhile, former secretary defending Sir Michael Fallon told the BBC that the deal was "stolen" and it has to be negotiated.
Speaking as she unveiled the Scottish Government's latest British paper analysis, Ms Sturgeon said the agreement was "unacceptable to the Scottish government and damaging the people of Scotland".
The document included an analysis – first published in January – claiming that a new free trade agreement could leave Scotland is worse by £ 1,600 per annum by 2030, compared to a scenario where the UK remain in the EU.
He also warned that the "backstop" could be put in place to prevent the return to a hard border in Ireland to allow Scotland to become a "serious competitive disadvantage" for Northern Ireland.
Ms Sturgeon said: "Uncertainty will end up, it will extend it. We are asked to receive a flowery Brexit with all the difficult decisions that have started on the road."