Soak the oats in the oat milk overnight, or at least 30 minutes. This softens the oats.
In the morning, Put everything in a blender and mix until smooth.
Serve immediately.
Notes
You can also make the smoothie without soaking the oats first, but I would recommend leaving the smoothie in the refrigerator for at least 30 minutes before drinking, to allow the oats to soften. The color of the smoothie will change as the banana browns though.