Yes

you do need a jacket based on the weather in Southwark, London SE1 1YZ, UK 1 second ago

Why? Because it's not very warm out.
55°F13°C & Windy

Wind is 15 mph24 km/h from the SW, gusting to 32 mph51 km/h
March 29
10am56°F13°C15 mph24 km/h SWPartly Cloudy
11am56°F14°C14 mph23 km/h SWMostly Clear
12pm56°F13°C14 mph23 km/h SWMostly Clear
1pm54°F12°C13 mph20 km/h SWMostly Clear
2pm53°F11°C11 mph17 km/h SWMostly Cloudy
3pm51°F10°C9 mph15 km/h SMostly Cloudy
4pm49°F10°C8 mph13 km/h SMostly Cloudy
5pm48°F9°C7 mph11 km/h SMostly Cloudy
6pm47°F9°C6 mph9 km/h SPartly Cloudy
7pm47°F8°C5 mph8 km/h SPartly Cloudy
8pm45°F7°C5 mph8 km/h SPartly Cloudy
9pm45°F7°C4 mph7 km/h SMostly Cloudy
DateLowHighWindDayNight
March 2845°F7°C56°F14°C13 mph21 km/h from SWDrizzleMostly Cloudy
March 2942°F6°C58°F14°C3 mph5 km/h from SMostly CloudyPartly Cloudy
March 3042°F6°C57°F14°C10 mph17 km/h from EMostly CloudyRain
March 3146°F8°C54°F12°C8 mph13 km/h from NWDrizzleDrizzle
April 144°F7°C56°F13°C6 mph10 km/h from SWCloudyDrizzle
April 246°F8°C54°F12°C15 mph24 km/h from SWDrizzleMostly Cloudy
April 342°F6°C55°F13°C9 mph15 km/h from SDrizzleCloudy

Yes

Low of 42°F6°C, High of 58°F15°C
Wind: 3 mph5 km/h
Precipitation: None

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