Add all ingredients to a small mixing bowl, except for the cheese (adding olive oil last), and stir to combine thoroughly.
Once all ingredients are thoroughly combined, add the cheese, and stir until just incorporated. This will thicken the dressing and get it to a 'Caesar' consistency. If the dressing is too thick, add more olive oil.
Chill for half an hour and serve over ice cold romaine lettuce. Garnish with croutons and additional shredded Parmesan cheese, as desired.