Cook the cauliflower: steam, microwave, or roast the florets until very tender (see notes for times) and let cool slightly.
In a food processor or high-speed blender, combine tahini and olive oil and blend until smooth.
Add the cooked cauliflower, minced garlic, lemon juice, salt, smoked paprika, and cumin to the processor.
Add 1/4 cup water and blend until just combined; scrape down the sides as needed.
Taste and adjust seasoning; for a smoother or thinner hummus, continue blending and add more water a tablespoon at a time until desired texture is reached.
Transfer to a serving dish and serve immediately or chill before serving.