"This warning has been extended eastwards across southern England and further into the Midlands".
Along with the strong winds, a spell of heavy rain can also be expected, turning to snow for a time with the potential to add another 2-8 cm to snow depths in some places.
Forecasters warned the winds could reach 70mph across northern England and Wales on Wednesday evening - and potentially could be another named storm.
Snow warnings remain in place for much of Scotland through till Friday.
A yellow weather warning for snow is in place for the Yorkshire Coast.
The rest of the night will continue windy with snow showers, occasionally heavy.
He continued: "The final track of the storm will be crucial to which areas become worst affected by the snow, but at this stage it looks like the worst weather will hit the same areas as last night".
Scotland will bear the brunt of the winter assault with up to eight inches (20cm) of snow expected over higher ground tonight.
Snow showers are forecast for parts of West Sussex overnight and tomorrow morning (Wednesday January 17).
For northern parts, even in lower levels, snowfall is expected towards the evening.
Gritters were out in force across Scotland, with pictures on social media showing particularly hard driving conditions on the M8 near Easterhouse.
Luke Miall, a forecaster at the Met Office, said: "The forecast for today is it's likely to become a bit more wintry, so we could be seeing snow for many areas, with northern and western areas seeing frequent showers".
"The issue of another amber warning for our area means that once again resources are likely to be at full stretch tonight trying to keep our roads open". That is the low confidence part of the warnings, keeping it at Yellow but the impacts could be high for Thursday morning.