  Based on \cite{H}, it is well known that the rescaled two point correlation
functions
  \[ \sqrt{N} \langle \sigma_i ; \sigma_j\rangle = \sqrt{N} \big( \langle
\sigma_i \sigma_j\rangle -\langle \sigma_i\rangle \langle \sigma_j\rangle\big)
\] in the Sherrington-Kirkpatrick spin glass model with non-zero external field
admit at sufficiently high temperature an explicit non-Gaussian distributional
limit as $N\to \infty$. Inspired by recent results from \cite{ABSY, BSXY, BXY},
we provide a novel proof of the distributional convergence which is based on
expanding $\langle \sigma_i ; \sigma_j\rangle$ into a sum over suitable weights
of self-avoiding paths from vertex $i$ to $j$. Compared to \cite{H}, our key
observation is that the path representation of $\langle \sigma_i ;
\sigma_j\rangle$ provides a direct explanation of the specific form of the
limiting distribution of $\sqrt{N} \langle \sigma_i ; \sigma_j\rangle$.
