  We prove that the two point correlation matrix $ \textbf{M}= (\langle
\sigma_i ; \sigma_j\rangle)_{1\leq i,j\leq N} \in \mathbb{R}^{N\times N}$ of
the Sherrington-Kirkpatrick model has the property that for every $\epsilon>0$
there exists $K_\epsilon>0$, that is independent of $N$, such that
  \[ \mathbb{P}\big( \| \textbf{M} \|_{\text{op}} \leq K_{\epsilon}\big) \geq
1- \epsilon \] for $N$ large enough, for suitable interaction and external
field parameters $(\beta,h)$ in the replica symmetric region. In other words,
the operator norm of $\textbf{M}$ is of order one with high probability. Our
results are in particular valid for all $ (\beta,h)\in (0,1)\times (0,\infty) $
and thus complement recently obtained results in \cite{EAG,BSXY} that imply the
operator norm boundedness of $\textbf{M}$ for all $\beta<1$ in the special case
of vanishing external field.
