  We perform a systematical investigation of the possible deuteron-like bound
states with configuration $\Xi_{cc}N (\bar{N})$, where $N(\bar{N})$ denotes the
nucleon (anti-nucleon), in the framework of the one-boson-exchange-potential
model. In the spin-triplet sector we take into account both the ${}^3S_1$ and
${}^3D_1$ channels due to non-vanishing tensor force. There exist several
candidates of the loosely bound molecular states for the $\Xi_{cc}N$ and
$\Xi_{cc}\bar{N}$ systems, which lie below the threshold of
$\Lambda_c\Lambda_c$ or $\Lambda_c{\bar\Lambda}_c$. We also investigate the
possible loosely bound states with configurations $\Lambda_cN(\bar{N})$ and
$\Sigma_cN(\bar{N})$. These molecular candidates may be searched for at Belle
II and LHC in the near future.
