  We calculate the correlator of the local density of states
<\rho_{E}(r_1)\rho_{E+\omega}(r_2)> in quasi-one-dimensional disordered wires
in a magnetic field, assuming that |r_1-r_2| is much smaller than the
localization length. This amounts to finding the zero mode of the
transfer-matrix Hamiltonian for the supersymmetric sigma-model, which is done
exactly by the mapping to the three-dimensional Coulomb problem. Both the
regimes of level repulsion and level attraction are obtained, depending on
|r_1-r_2|. We demonstrate that the correlations of different eigenfunctions in
the quasi-one-dimensional and strictly one-dimensional cases are dissimilar.
