  Random sequential adsorption (RSA) is a standard method of modeling
adsorption of large molecules at the liquid-solid interface. Here we consider
jammed states of the RSA process of nonoverlapping dimers (objects occupying
two nearest-neighbor lattice sites) in a hypercubic lattice of arbitrary space
dimension $D \ge 2$. We show that each dimer in such a state belongs to a
percolating cluster.
