The document warns of the potential shock to the British and European economy from a loss of critical financial services if banks do not secure a transition phase beyond the two-year withdrawal period that will begin when the government invokes Article 50 of the EU's Lisbon Treaty.
If no transition deal is agreed, there is a risk that some banks may not be able to move parts of their operations out of Britain or set up new British subsidiaries in time, the document says, running the risk that the banks may have to halt their EU business activities abruptly.
It would normally take banks as long as three years to relocate operations, according to the document, but due to the large number of firms seeking to do this simultaneously regulators may be flooded with requests, slowing down the process.
"Transitional arrangements are likely essential," the document says. "This is important in order to avoid potential damage to the "real economy" that is reliant upon uninterrupted access to financial services."
The demands for special treatment for an industry scorned by Britons since the financial crisis may put it on a collision course with swaths of the public and politicians who voted for Brexit because they wanted Britain to regain control of its law.
Hardline supporters of Brexit are opposed to any transitional arrangement worrying it could become permanent as final trading terms can take years to agree.
Richard Tice, co-chairman of the Leave Means Leave campaign, which is pushing for a so-called "hard Brexit", where Britain leaves the EU's single market in order to impose controls on immigration, said the banks are exaggerating the potential disruption.
"This is a nonsense. It is just the banks, frankly, not dealing with the issue," he said. "The country voted for change and the sooner they wake up and accept it the better."
The document was drawn up by three of Britain's biggest law firms - Linklaters, Freshfields and Clifford Chance - and says it is "intended to provide technical support to those developing a negotiating position for the UK."
All the law firms declined to comment.
Financial services firms face some of the biggest challenges of all sectors responding to the vote to leave the EU because large areas of their businesses are governed by passporting rules, which allow them to operate across Europe.
Finance accounts for about 10 percent of Britain's economy, a larger share than in other big economies, highlighting its importance as the government embarks on talks that may determine if it remains a leading global financial centre for years to come.
The document argues that Britain must secure an agreement with Brussels - around the time of triggering Article 50 - for a period of delay following the two-year exit process for it to have any impact.
The document says the transitional deal should last a minimum of between three to five years. It says for any transitional deal to be accepted it would require the British government to accept EU law in financial services for the duration of any deal.
The document also suggests that the European Court of Justice - one of the most detested institutions by British eurosceptics because it can override UK courts - would most likely have to govern any disagreements that arise during the transition.
"We well understand the political sensitivity to that proposition," the document says.