Trailer Wiring Adapter '95 suburban

[palallin]

Just bought a '95 C1500 suburban for my younger son. It is equipped with a tow package, but I need to change the wiring. It comes with an adapter plug in the tail light wiring harness that fits in between the harness running to the rear and the harness which goes to the tail lights. The adapter has a flat 4-wire pig tail coming out of it.

Did/Does Chevy offer a version that has a round 7-wire socket instead? It would be easy enough to clip off the 4-wire plug and install an aftermarket 7-wire socket, but I had hope that I could just unplug the current one and plug the correct one in. My '95 Tahoe and '99 Tahoe both seem to come with the kind of thing I am looking for, but google is proving to be useless in my search, so I thought I'd ask the folks here.