The New Orleans Weather Forecast: Cool and dry weather continues this week. On Tuesday we will warm up a little compared to Monday, but it will still be a cool and pleasant day. Expect a few clouds to stream overhead. Wednesday through Friday continue the same way except mornings will not be quite as cold. We'll have partly to mostly cloudy skies. It will turn breezy as high pressure strengthens to our northeast and a low pressure system approaches from the west.