Band director Larry Wells says they're just a few thousand dollars short of the $50,000 needed to fund the trip.
The group has been selling $100 chances for a $10,000 prize.
Money has also been raised by hosting a fall festival and collecting private donations.
A trip to Memphis and a chance to perform on network television would be the highest achievement ever reached by the marching Red Tops.
If you can help the Slocomb High School band reach its fundraising goal, contact them at 886-2212 for more information.