  Diffractive dijet production at the electron-ion collider (EIC) has been
proposed to study the gluon Wigner distribution at small-$x$. We investigate
the soft gluon radiation associated with the final state jets and an all order
resummation formula is derived. We show that the soft gluon resummation plays
an important role to describe E791 data on $\pi$-induced diffractive dijet
production at Fermilab. Predictions for the EIC are presented, and we emphasize
that the soft gluon resummation is an important aspect to explore the
nucleon/nucleus tomography through these processes.
