Weather in June

So what's the weather like on the camino right about now? And what are the forecasts for the upcoming month? We are arriving at Roncesvalles on June 4, and will be en route for three weeks (biking). The daytime weather isn't that much of a concern, as we have decided to travel 2 hours in the morning and two in the afternoon and leave the midday free to relax. Our major concern is the nighttime temperature, as we will be camping at least half of the time. Our sleeping bags are super lightweight, which means the minimum tolerable temperature is 10 degrees C. Thanks for any information.