In a blender or food processor, combine 1 cup (235ml) tahini sauce with about one-quarter of the cooked chickpeas and blend until very smooth, with a thick but pourable milkshake-like consistency. Thin with a little of the reserved cooking liquid if necessary (but be careful not to thin too much at once; you can always thin more, but can’t remove liquid once it’s added). Season with salt.
In a mixing bowl, combine tahini mixture with remaining chickpeas and parsley. Stir until thoroughly mixed and chickpeas are coated in a creamy sauce. (If you prefer the sauce thinner, gently work in a little more of the reserved cooking liquid.) You can refrigerate the hummus at this point; it will become thicker in the refrigerator.
Spoon onto a serving dish, drizzle with olive oil, and top with garnishes of your choice. Serve with warm pita bread.
Special equipment
High-powered blender or food processor