The once nearly total avoidance of sources of Vitamin K (does anyone remember The Coumadin Cookbook?) has given way to a more sensible approach to Vitamin K and anticoagulation. It's been found that regular intake of Vitamin K can actually make it EASIER to manage your INR.
As others have said 'dose the diet, don't diet the dose.' What this means, basically, is that your intake of lettuce (or, for that matter, any food), should be fairly consistent. Based on this consistent intake, you should be able to test your INR and make appropriate adjustments. Unless you change your diet, take antibiotics, drink a LOT, or do other things that it's been suggested may alter INRs, your INR should stay pretty stable.