It is scary news for bacon fans: The U.S. could see tight supplies, or even some shortages of pork bellies along with ham next year as the spread of a pig-killing disease in China ripples through the global market.

That is according to Smithfield Foods Inc., the world’s biggest pork producer. While China’s hog crisis hasn’t had much effect on the U.S. market yet, that could change in 2020 as the Asian nation is forced to increase imports even more in the face a prolonged protein deficit, said Arnold Silver, director of raw materials procurement at Smithfield, which is owned by Hong Kong-listed WH Group Ltd.

The Chinese “are insatiable in their appetite for pork,” Silver said at the Urner Barry Global Protein Summit in Chicago.

Smithfield will prioritize supplying its long-held U.S. customer base before directing meat for export to China, Silver said. But strong demand from Asia means more U.S. pork exports could flow to the Asian country, and some cuts of meat could face particular tightness. China often buys whole or half carcasses. However, hams will also be especially in demand, Silver said.

That outlook comes even as China maintains its retaliatory tariffs against U.S. pork shipments. If the duties are lifted, American exports will increase even more, Silver said.

The U.S. Meat Export Federation also expects increased Chinese buying in 2020. American pork exports to China will likely see 12% growth in 2019 and 13% growth in 2020, reaching 3.1 million metric tons, Erin Borror, an economist with the group, said at the Urner Barry conference. That forecast assumes the trade war will persist.

If Chinese buying takes off, there are limitations to how quickly producers can ramp up supplies, Smithfield’s Silver said.