On Sunday, some roads and railways are likely to be affected and icy patches are expected on untreated roads, pavements and cycle paths, with the Met warning to expect longer journey times by road, bus and train services.
Mr Yousaf thanked members of the public for helping roads teams with the "difficult period" but advised people to monitor travel updates and plan journeys ahead.
Motorists are being warned to take extra care on roads across the country as a nationwide due to the poor weather in most areas.
The Met Office warns of heavy snow showers with up to 12 inches (30cm) possible over the highest routes, and up to four inches (10cm) at lower levels.
"The snow is expected to become confined to northeast Scotland later in the day as it progressively turns to rain from the southwest".
Local authorities in North and South Lanarkshire said all schools would be closed to pupils from lunchtime due to the deteriorating weather.
The Met Office issued a yellow "be aware" warning of snow and ice, which lasts until 6pm this evening.
"Motorists will also potentially face significant delays at peak times".
"If you are able to, please make your homeward journey earlier".
First Minister of Scotland, Nicola Sturgeon said the Scottish Government is alerting business groups and urging employers to be flexible.
Saturday will see a similar warning in place just after midnight until 11pm covering much of Scotland, north east England, north west England, Yorkshire and Humber.
The latest weather warning follows a week of cold weather, snowfall and travel disruption in Scotland.
During the next week, weather is expected to be drier and milder in the United Kingdom after being slashed with heavy rain and snow.
It comes after police on Friday urged people only to travel if absolutely necessary in areas covered by the higher amber advisories for snow and ice.
Amber: Be prepared for disruption.
Red: Extreme weather is expected. Widespread damage, travel and power disruption and risk to life is likely.