Blend the cucumber in a blender on high for 30-40 seconds until it looks like thick juice. A juicer will also work for this step. Strain the pulp through a fine mesh strainer, using the back of the spoon to press the cucumber solids to release more juice.
Fill a cocktail shaker with ice and add the tequila, agave, lime juice and 6 ounces of the cucumber juice. Shake all ingredients over ice.
Salt the rim of two cocktail glasses and fill with ice. Pour cocktail ingredients over ice and garnish with a cucumber slice.
Keywords: Cucumber Margarita, Cinco De Mayo Cocktails, Flavored Margaritas, Mexican Cocktails