In the bowl of a food processor, add white beans, garlic, rosemary, and lemon juice. Blend on high for about 1 minute, stopping a couple of times to scrape the sides of the bowl down to ensure that everything purees evenly.
With the food processor on low, stream in the olive oil. Stop and scrape down the bowl again.
With the food processor on low again, steam in 1 or 2 tablespoons of water depending on how thick or loose you want your spread to be. Add a pinch of salt and freshly ground black pepper and blend just to combine.
Store in an air tight container in the refrigerator for up to 5 days.