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Algebraic K-theory and Witt groups

Let S be a ring with involution (with 2 invertible). Suppose that the non connective algebraic K-theory $K(S)$ is 0 (i.e. $K_{n}(S)=0$, for all $n$).

Can we say something about the (higher) Witt groups $W_{n}(S)$ ?

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