Impurity of a severed limb for a Cohen

If a Cohen has had his finger severed, is he allowed to take the finger with him?

If the finger is without bone, flesh, and tendons, it does not cause impurity of a dead body. If the finger is whole and it is possible to reattach the finger to its place, it does not cause impurity, and it is permitted to take the finger with him. However, if it is impossible to reattach the finger to its place, a limb from a living being causes the impurity of a dead body, even though this is his own limb.

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