Louis,
I just put the WWW Dunlops on my bike and had my first ride tonight. On my bike it is quite close. I have about 1/8 inch clearance between the sidewall and that contoured piece. To put my mind at ease after your question, I did a little research on the effect of centrifugal force on a tire. A tire does get skinnier as it rotates faster. A good example is watching a dragster. When they start off, the tires start spinning and they get taller and skinnier. Higher air pressure in the tire decreases the effect.
Carl