Bulk copper and nickel samples containing 2.5 and 5 at.% krypton present in overpressurized bubbles have been studied by EXAFS spectroscopy. A fit to the experimental data yields krypton nearest-neighbour distances of 3.62(4) and 3.69(4) Å in a copper and a nickel matrix respectively. These values confirm that krypton bubbles are overpressurized. Calculated krypton packing densities are in good agreement with results from other techniques. In addition, average krypton - metal nearest-neighbour distances of 3.0(1) Å were determined. Atomistic calculations show a wide variation of krypton - metal distances, in agreement with the experiment.