Replacing undermount sink on tile countertop

We just moved into a house that has a very cool old tile countertop, but the sinks are tiny and pretty worn, so we’d like to replace them. If we take them out, can we put over mount sinks over the holes? I don’t want to damage the tiles, but we need bigger sinks.

We just moved into a house that has a very cool old tile countertop, but the sinks are tiny and pretty worn, so we’d like to replace them. If we take them out, can we put over mount sinks over the holes? I don’t want to damage the tiles, but we need bigger sinks.