Or you could use a thicker leather grip like the Volkl or Boris Becker one. I think the Becker has a special on it if you buy more than one. I have it on one of my racquets and it does add some weight and will probably change the balance of your racquet. Otherwise, it's nicely firm and comfortable with a Dunlop Viper Dry overgrip over it.
Dunlop MuscleWeave 200G 95, Bosworth/Lendl hybrid pattern - Black Out 1.24 / Hexy Fiber 1.26 @53/53 Alpha Pioneer DC+ dropweight