  The structure of the molecule-like state of $NK\pi$ with spin-parity
$J^{\pi}={3/2}^-$ and isospin I=1 is studied within the chiral SU(3) quark
model. First we calculate the $NK$, $N\pi$, and $K\pi$ phase shifts in the
framework of the resonating group method (RGM), and a qualitative agreement
with the experimental data is obtained. Then we perform a rough estimation for
the energy of $(NK\pi)_{J^{\pi}={3/2}^-,I=1}$, and the effect of the mixing to
the configuration $(\Delta K)_{J^{\pi}={3/2}^-,I=1}$ is also considered. The
calculated energy is very close to the threshold of the $NK\pi$ system. A
detailed investigation is worth doing in the further study.
