Prepare the walnuts by placing them in your food processor. Pulse until they form a fine crumb, about 30 seconds.

Add the fresh purple basil leaves, minced garlic, nutritional yeast, and salt to the food processor. Pour in olive oil.

Blend on high speed for about 45-60 seconds, scraping down the sides every 15 seconds until smooth and creamy.

If needed, drizzle in an additional tablespoon of olive oil and pulse again until smooth.

Taste for seasoning and adjust salt or garlic as desired, blending briefly to incorporate.

Transfer to an airtight container and use immediately or store in the fridge for up to a week.