Yes

you do need a jacket based on the weather in Westbourne Grove, London W2 4UW, UK 1 second ago

Why? Because it's pretty chilly.
54°F12°C & Drizzle

Wind is 15 mph24 km/h from the SW, gusting to 32 mph52 km/h
February 22
6am54°F12°C16 mph25 km/h SWRain
7am54°F12°C14 mph22 km/h SWRain
8am51°F11°C14 mph22 km/h SWRain
9am49°F10°C16 mph26 km/h SWRain
10am47°F9°C17 mph27 km/h WRain
11am43°F6°C19 mph31 km/h NWRain
12pm43°F6°C17 mph27 km/h WDrizzle
1pm43°F6°C16 mph25 km/h WWindy
2pm42°F6°C15 mph25 km/h WWindy
3pm41°F5°C14 mph23 km/h WMostly Clear
4pm40°F5°C13 mph20 km/h SWMostly Clear
5pm40°F4°C12 mph19 km/h SWMostly Clear
DateLowHighWindDayNight
February 2139°F4°C54°F12°C15 mph24 km/h from SWRainPartly Cloudy
February 2237°F3°C49°F9°C9 mph15 km/h from SWMostly CloudyPartly Cloudy
February 2332°F0°C47°F8°C6 mph10 km/h from SWRainPartly Cloudy
February 2432°F-0°C47°F8°C9 mph14 km/h from NECloudyMostly Cloudy
February 2536°F2°C45°F7°C15 mph24 km/h from NWindyPartly Cloudy
February 2631°F-0°C50°F10°C7 mph12 km/h from SWMostly CloudyCloudy
February 2744°F7°C54°F12°C6 mph10 km/h from SWDrizzleMostly Cloudy

Yes

Low of 37°F3°C, High of 49°F10°C
Wind: 9 mph15 km/h
Precipitation: None

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