The forecaster says heavy snow will hit the city from 6am on Monday morning and continue through 7am until about 8am.
The two hours of heavy snow could cause chaos on the roads, with ice already possible after a freezing Sunday night.
The Met Office says there is a 95% chance of heavy snow on Monday morning.
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But the good news is that the snow is set to give way to drizzle and rain later in the day - so we're unlikely to be set for a full snow day unless the forecast becomes even colder in the next 24 hours.
Snow will give way to sleet at about 8am, before several hours of heavy rain sets in.
This is the full hour by hour forecast:
6am Heavy snow
7am Heavy snow
9am Heavy rain
10am Heavy rain
12 noon Cloudy
1pm Breaks of sunshine
2pm Sunshine and cloud
3pm Sunshine and cloud
4pm Cloudy until evening
The Met Office has also issued a weather warning for Monday. It says: "Flooding of a few homes and businesses is likely
"Bus and train services probably affected with journey times taking longer
"Spray and flooding on roads probably making journey times longer
"Some interruption to power supplies and other services likely."