  A discussion involving the evaluation of the sum $$\sum_{T<\g\le
T+H}|\zeta(1/2+i\gamma)|^2$$ and some related integrals is presented, where
$\gamma\,(>0)$ denotes imaginary parts of complex zeros of the Riemann
zeta-function $\zeta(s)$. It is shown unconditionally that the above sum is
$\,\ll H\log^2T\log\log T\,$ for $\,T^{2/3}\log^4T \ll H \le T$.
