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This has been addressed as a part of Chrysler Technical Service Bulletin #08-013-08 REV. A. It's a fix for "Oil Change Monitor Alerts Prematurely," which involves erasing and reprogramming the Powertrain Control Module with the latest software revision. The only problem is that this TSB applies to the 2007/2008 Wrangler, Durango, Aspen, Grand Cherokee, and Commander--not the Ram. You could ask your Dodge service department personnel to do a reprogramming. They may be able to compare the software version installed in your control module with the latest available, online. If they are both the same, don't bother reprogramming. Otherwise, a newer version may fix the problem. If that gets you nowhere, have the technician check with Dodge tech support. Worst-case scenario would be to wait for updated programming. In the meantime, schedule your service the old-fashioned way.

The procedure reads as follows:
"Turn the ignition switch to the ON position, but do not start the engine. Slowly depress and release the accelerator pedal fully three times within 10 seconds. Turn the ignition switch to the OFF position. If the change-oil indicator illuminates the next time the engine is started, repeat this procedure."

The Dodge service schedule for your truck shows 6000-mile oil change intervals. The same condition you're experiencing has been dealt with by Chrysler Technical Service Bulletin (TSB) .