In the framework of the Skyrme model we calculate the Skyrmion-Skyrmion interaction allowing for deformations in the chiral field. Significant changes in the potentials compared to the ones with the pure hedgehog ansatz appear. This strongly suggests that no convincing calculation of the static N-N potential as constructed from the Skyrmion-Skyrmion interaction has been done up to now. Our results therefore indicate that a reliable N-N potential can only be gained by more elaborate methods such as, e.g., lattice calculations.