listener on a second machine using the same SID

I'm planning to bring up a new oracle 9.2.0.5 (solaris 10) instance using the backup of an existing oracle instance, on the same network but on a different machine/ip address.

So there will be two physical machines on the same subnet, both running a listener configured with the same SID and have the same datafiles. As long as clients are still using the original IP address this shouldn't present a problem should it ? I'm told that it's possible the 2nd listener will interfere with the primary machine listener because it uses the same database/SID. Is this possible ?

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Michael