Kirklees Council has said it is preparing for cold and icy weather tonight.
A spokesperson said: "We are expecting some snow overnight and into the morning. If you are out on the roads overnight or tomorrow morning, take extra care.
"We will be doing a grit across our normal gritting network from 4pm and we’ll be keeping an eye on things overnight. We’ll do another grit from 5am."
A yellow weather warning has been issued by the Met Office across Kirklees for heavy rain alongside another warning for snow, on Monday night and into Tuesday.
The rest of Monday is forecast be sunny and dry into the afternoon and throughout the evening.
However, early Tuesday morning from about 4am we can begin to expect rain and snowy conditions through until midday tomorrow.
A mix of misty and heavy rain conditions are expected to prevail throughout the rest of Tuesday.
Difficulty travelling can be expected with possible bus and train delays. The Met Office asks people to be aware of slippery conditions and to be careful when travelling.
The Met Office forecast:
Tuesday: Cold and windy, with further sleet and snow first thing, before snow becomes confined to the hills. Turning showery and less cold from the south during the afternoon. Winds easing. Maximum temperature 2 °C.
Outlook for Wednesday to Friday: Rain and hill snow persisting in the north on Wednesday and Thursday, but generally brighter and showery to the south. Less cold. Perhaps drier and brighter on Friday.