The Texas Alcoholic Beverage Commission announced the proposal Friday. It will hold a 30-day public comment period before any change is made.
The proposal also would require that firearms being shown for sale be disabled and not readily convertible for use.
Under current rules, if a gun show is held at a venue licensed to sell alcohol, drinks sales and consumption are suspended during the time it takes to set up, conduct and dismantle the gun show.
"We got a request from a gun club in the Dallas-Fort Worth area to amend the rules," said agency spokeswoman Carolyn Beck.
The Texas affiliate of the National Rifle Association said it had nothing to do with the request. The Texas State Rifle Association is still reviewing the proposal, said Alice Tripp, the group's legislative director. She called it "confusing" and questioned whether gun advocates would want to attend gun shows with such restrictions.
"Does that make any sense? Who would buy a gun at a gun show where you couldn't take possession of it?" she asked.
"Nobody is interested in selling alcohol at a gun show," Tripp added.
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