Very tough one to answer.
My gut says it won't be a problem, based on the resiliency of the fibroblasts and their stubbornness to give up the pigment. Because things like this have never been tested with an specificity, I cannot assure anything however.
You could perform a test by applying a dab onto an isolated portion of a less-viable tattoo for a few weeks, but this is a pretty extreme measure of caution imo.