He told BBC Radio Scotland's Good Morning Scotland programme: "The important message this morning is there still is a yellow ice and snow warning out there so conditions will be challenging".
Exisiting yellow warnings for snow in the north of the United Kingdom for Wednesday overnight into Thursday have also been upgraded to Amber.
The statement continued: "Despite our best efforts we cannot guarantee ice free roads even after salting and rain can wash salt off the road and ice may form".
More heavy snow is set to hit parts of Scotland on Wednesday, forecasters have said.
The warnings come as an Atlantic depression is set to bring scattered snow showers to northern parts of the country.
A yellow weather warning for snow is in place for the Yorkshire Coast.
Met Office forecaster Matt Box said: "A cold front will come down on Monday and it will herald the arrival of polar maritime air mass across the United Kingdom and, that being a cold air mass, temperatures are going to feel a lot colder".
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Its spokesman said: "Very strong winds will affect parts of the United Kingdom during tonight and into Thursday".
"In the brisk westerly winds this could still lead to blowing of the snow at higher levels".
It is in place until 5am and strongest winds are expected to transfer eastwards before clearing by mid morning.
The warnings, which cover Central Scotland, Tayside, Fife, southern Scotland, Lothian and Borders, Strathclyde and Northern Ireland, are valid until 8am on Wednesday.
A spokesperson tweeted: "Be aware of longer journey times for the rush hour, especially in eastern parts where gusts over 70 mph are still possible". There is also a possibility that some bridges may close.
Early results of the strong winds were evident as people tweeted about missing bin lids and rogue recycling tubs on Thursday morning. Some southern parts could still miss the worst of the conditions.
"Over exposed high ground, snow will drift in the strong winds".