The warning came after a reprieve from the wintry conditions as snow and ice thawed overnight.
Heavy rain overnight in many areas and early morning temperatures of 5°C were enough to melt snow and make commuter journeys slightly easier.
But the Met Office warned winds of up to 70mph are set to hit the country today, with heavy sleet and snow.
There were already restrictions on the Erskine Bridge today, which was closed to high sided vehicles
Strong winds on the Forth Road Bridge meant a 40mph speed limit was in force.
Snow and ice affected the A82 at Tyndrum, while drivers on the A83 in Argyll were warned of icy conditions in Tarbet.
Lindsay Dovey, a forecaster with the MeteoGroup, said temperatures could rise to 7°C today, but it would be showery and blustery for most of the day.
She said: "There will be sleet and hail showers, which could be heavy in places, but the winds will be causing problems today and into tomorrow.
"Temperatures will be 9-10°C tomorrow, with heavy rain and gale force winds before getting colder heading into the weekend."
As reported in yesterday's Evening Times, there were numerous accidents across west Scotland.
The M8 was closed westbound at junction six when a jack-knifed HGV created diesel spillage on the road. The junction six slip road to the westbound carriageway was also closed.
The A77 northbound carriageway was closed at the B7038 Kilmarnock junction because of an accident and the westbound carriageway of the Clydeside Expressway in Glasgow also had to be closed after a car skidded on ice and hit a barrier shortly after 6am.
Transport Scotland said its Multi-Agency Response Team, which involves police, rail operators, road operating companies and the Met Office, would stay operational until at least Friday night.
Scottish Transport Minister Keith Brown said: "It's been a testing start to the week for many commuters and the decision to extend Mart until at least the end of the week makes sense.
"Lessons are always being learned and we are continuing to prepare for the next phase of severe weather. Disruption can never be ruled out, but we have already taken a wide range of steps to ensure Scotland is as well-prepared as it can be."