Shim isnt neccessary---may cause more problems then without, can you verify its the exact same thickness within a few hundredths of an inch as the die on your flip?
Is the shim metallic?
Will it add the heat from the sink back into the chip and socket the chips attached to?
Did Coolerguys give you accurate instructions as to how to use their product?
Ditch the shim, why do you need it anyways?