Yes

you do need a jacket based on the weather in Tenerife, Santa Cruz de Tenerife, Spain 1 second ago

Why? Because it's pretty chilly!
53°F12°C & Clear

Wind is 1 mph2 km/h from the Northeast, gusting to 8 mph13 km/h
July 25
9pm53°F12°C1 mph2 km/h NortheastClear
10pm53°F12°C1 mph2 km/h NorthClear
11pm54°F12°C2 mph3 km/h SouthClear
July 26
12am53°F11°C1 mph2 km/h WestClear
1am53°F11°C1 mph2 km/h SouthwestClear
2am53°F11°C1 mph1 km/h WestClear
3am53°F12°C1 mph1 km/h SouthClear
4am56°F13°C1 mph2 km/h SouthwestClear
5am58°F14°C1 mph2 km/h SouthwestClear
6am60°F15°C1 mph2 km/h SouthwestClear
7am61°F16°C1 mph2 km/h SouthwestClear
8am63°F17°C2 mph3 km/h WestClear
DateLowHighWindDayNight
July 2552°F11°C65°F18°C2 mph3 km/h from SouthwestClearClear
July 2660°F16°C73°F23°C1 mph2 km/h from NortheastMostly ClearPartly Cloudy
July 2765°F18°C75°F24°C4 mph6 km/h from NortheastMostly ClearClear
July 2865°F18°C73°F23°C3 mph5 km/h from NorthClearClear
July 2958°F14°C69°F20°C2 mph4 km/h from NorthwestClearClear
July 3055°F13°C65°F18°C2 mph4 km/h from NorthClearClear
July 3155°F13°C64°F18°C2 mph4 km/h from NorthMostly ClearClear

No

Low of 60°F16°C, High of 73°F23°C
Wind: 1 mph2 km/h
Precipitation: None

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