Should I expect þingvellir to be snowcovered early May?

Should I expect þingvellir to be snowcovered early May? - Calm Asian female wearing white pajama sleeping in comfortable bed with white sheets near modern mobile phone in morning

I will have a 72 hour layover on Iceland 1–4 May, and I will happen to have my bicycle with me. I am considering to go on a cycling trip to þingvellir and some other places. However, I'm unsure about weather conditions. Should I expect þingvellir to be covered in snow at the beginning of May? I don't mind if the hills/mountains are snowcovered, but I'll be cycling with my summer tyres so if snowfall or snow-blocked roads are likely, it might be wiser for me to make different plans.






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