  Recent results on production of $J/\psi$ pairs in LHCb initiated discussion
on double parton scattering (DPS) contribution to this process, which is not
yet elaborated well. In this short report $J/\psi \chi_c$ and $J/\psi \Upsilon$
modes are proposed for DPS studies. Estimations for $\Upsilon \Upsilon$ and
$J/\psi \Upsilon$ production in LHCb are presented.
