Preheat your oven to 350°F (175°C) and line a muffin pan with paper liners.
In a large mixing bowl, whisk together the flour, poppy seeds, baking powder, baking soda, salt, and sugar.
In a separate bowl, mix the dairy-free milk, yogurt, oil, lemon juice, lemon zest, and vanilla extract.
Pour the wet ingredients into the dry and stir until just combined. Do not overmix.
Evenly divide the batter among the muffin cups.
Bake for 20-25 minutes, or until a toothpick inserted in the center comes out clean.
Let muffins cool in the pan for 5 minutes, then transfer to a wire rack to cool completely.