Mourners face a "less than 10% chance" of waiting in the rain to see the Queen's coffin, according to weather forecasters.
People in Edinburgh will be able to view the coffin at St Giles' cathedral from 5pm on Monday, where it will remain for around 24 hours until it is taken by RAF plane to London.
The late monarch will lie in state for four clear days in Westminster Hall, arriving there in the afternoon of September 14, until 6.30am on the morning of her funeral, a senior palace official said.
The thousands expected to file past to see her coffin are likely to escape any rain amid warnings of long waits, meteorologists say.
It came after officials in Scotland said weather conditions may be challenging with people warned to expect to stand for a number of hours.
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Met Office forecaster Marco Petagna said: "Tomorrow will be quite a cloudy day in Edinburgh with some patchy, light rain, however there's every sign this will improve by the afternoon.
"Later in the day it should become a lot brighter with a reasonable amount of sunshine, temperature-wise staying fair at around 17C, despite a fresher north-westerly breeze, growing cooler overnight.
"Tuesday in the Scottish capital should be fine, with a fair amount of sunshine.
"Meanwhile, London should be fairly cloudy that day, yet rather warm at 22C, but the evening will be of some concern as thundery showers move in from the south.
"From Wednesday and until the funeral there will be a dry and fresher feel, with a fair amount of cloud and cooler winds and a less than 10% chance of rain."
Further details of how the public can attend will be announced in the coming days.
Senior members of the royal family, including the King, will hold continuous vigils from 7.20pm on Monday known as the Vigil of Princes.
The Queen's procession arrived in the Palace of Holyroodhouse this afternoon after the long journey from her beloved Balmoral estate.
Grieving children Prince Andrew, Prince Edward and Princess Anne lined up to greet her coffin.
Crowds gathered in the city to pay their respects at the Palace.
The 96-year-old's coffin has been draped with the yellow Royal Standard of Scotland and will rest in the throne room until tomorrow afternoon.
It will then travel in a procession to Edinburgh's St Giles' Cathedral, along the Royal Mile, with the King and the late Queen's other children the Princess Royal, the Duke of York and the Earl of Wessex following behind on foot, along with Anne's husband Admiral Sir Tim Laurence.
Camilla, now Queen Consort, and the Countess of Wessex will follow by car and also attend the service in St Giles'.
Mourners will be able to view the coffin from 5pm, City of Edinburgh Council have confirmed.
The Queen will lie in state at St Giles Cathedral on Edinburgh’s High Street for 24 hours and members of the royal family, including the King, will stand beside the coffin from 7.20pm in a tradition known as the Vigil of the Princes.
The Princess Royal will accompany the Queen's body back to London on Tuesday, September 13 on an RAF flight.
* This weekend, the Daily Mirror and Sunday Mirror celebrate the life of Her Majesty the Queen with a commemorative special filled with all the key moments from Britain’s longest reigning monarch.
Be sure to pick up your copy of the Daily Mirror and Sunday Mirror to get both pullouts.
