The company also said “JBS USA and Pilgrim’s were able to ship product from nearly all of its facilities to supply customers.”

Does fallout from the attack mean a tighter meat supply ahead, and as a result, higher prices? That depends on how quickly the issue is resolved, according to experts.

“Even one day of disruption will significantly impact the beef market and wholesale beef prices,” Steiner Consulting Group, which specializes in commodity prices, wrote in a note Tuesday.

Partially, that’s because of the high demand for burgers and other beef products during Memorial Day Weekend.

“Retailers and beef processors are coming from a long weekend and need to catch up with orders and make sure to fill the meat case. If they suddenly get a call saying that product may not deliver tomorrow or this week, it will create very significant challenges,” Steiner explained.

The attack could also “limit pork supply availability and push up pork prices in the near term,” Steiner said. The group noted that “we think this is a major issue but much will depend on how long the disruption persists.”

Steve Meyer, an economist with commodity firm Kerns and Associates, agreed that a one or two day disruption could cause wholesale meat prices to jump. But if the problem is resolved within a few days, he said, restaurants and grocery stores are unlikely to pass those costs onto consumers.

“They would probably absorb those in the short run,” Meyer said. “As long as there was light at the end of the tunnel.”

If it takes longer to return to normal, say a couple of weeks, customers might start to feel the impact.

“Then you’re probably going to have some buyers, whoever depends on JBS for their supplies, that probably could be short product,” he said. In that case, for consumers, it would depend on where their local grocery store sources its meat. “If they buy it from JBS then you might see some shortages. If they don’t buy it from JBS, you might not see anything at all.”

“We’re very concerned…because that’s a very big part of our business,” Alicia White, co-owner of the restaurant, told CNN Business in an interview.

Now, the prospect of more shortages could raise alarm bells for consumers, especially as they’ve already been paying more for meat: Beef prices were up 6.1% during the 17 weeks ending May 1 compared with the same stretch the year prior, according to the latest numbers from NielsenIQ, which tracks point of sale data from retailers. Chicken prices were up 4% and pork prices increased 2.6%.

— CNN’s Nathaniel Meyersohn, Alexis Benveniste, Brian Fung and Parija Kavilanz contributed to this report.