The yellow warning covers Fort William, Tobermory, Portree and Ullapool – and will remain in place until Wednesday at 9am.
Although the rain continues to persist in the north west of Scotland for much of the country, Tuesday will start bright and sunny for many.
In the east of Scotland, although cloudy, it will be drier with temperatures of up to 14°C expected.
Looking ahead, Chief Meteorologist Steve Ramsdale said: “The UK will see a few days of notably warm weather to end March, with a maximum of 24°C on Wednesday in the south and east of England.
“There will also be plenty of sunshine across England and Wales however parts of Scotland will see some persistent rain over the next couple of days.
“Conditions will start to change through the day on Thursday as cooler air moves in from the north east, highs will fall to the mid-teens before falling further by Friday, especially along the east coast. With pressure building from the north however, conditions are expected to remain dry for the majority.
"Through Sunday an even colder pool of air will start to push in across the UK from the north west, bringing a notable change to temperatures compared to the start of the week. This also brings a move towards more unsettled conditions with stronger winds and the chance of some wintry showers.”