Yes

you do need a jacket based on the weather in Odessa (Indus Park Reg Air Term), Texas, United States 1 second ago

Why? Because it's bitterly cold.
39°F4°C & Clear

Wind is 4 mph6 km/h from the SE, gusting to 6 mph9 km/h
March 28
9am40°F4°C4 mph6 km/h SEClear
10am45°F7°C4 mph6 km/h SEClear
11am52°F11°C6 mph10 km/h SClear
12pm59°F15°C9 mph14 km/h SClear
1pm65°F19°C11 mph18 km/h SClear
2pm70°F21°C14 mph22 km/h SClear
3pm72°F22°C15 mph24 km/h SClear
4pm74°F24°C15 mph24 km/h SClear
5pm76°F24°C15 mph24 km/h SWindy
6pm77°F25°C16 mph25 km/h SWindy
7pm76°F24°C16 mph25 km/h SWindy
8pm75°F24°C15 mph24 km/h SWindy
DateLowHighWindDayNight
March 2839°F4°C77°F25°C11 mph18 km/h from SClearWindy
March 2955°F13°C83°F28°C16 mph25 km/h from SWWindyPartly Cloudy
March 3057°F14°C83°F28°C9 mph14 km/h from SWMostly CloudyMostly Cloudy
March 3162°F17°C88°F31°C14 mph23 km/h from SWMostly CloudyCloudy
April 159°F15°C79°F26°C15 mph24 km/h from WWindyPartly Cloudy
April 248°F9°C62°F17°C16 mph25 km/h from NWindyMostly Clear
April 339°F4°C69°F20°C6 mph10 km/h from NClearClear

Yes

Low of 55°F13°C, High of 83°F29°C
Wind: 16 mph25 km/h
Precipitation: None

Support This Page