The Belters bar, the Canon pub and the restaurant at the Capon Tree are all currently closed.
Belters closed after a customer tested positive for Covid-19
The Capon Tree restaurant will be closed until Friday, July 2, after the chef came into contact with someone who has tested positive, although the bar remains open to customers.
And The Canon has shut as purely a precautionary reaction to the spread of the virus in Jedburgh.
Meanwhile, a number of pupils at Jedburgh Grammar Campus have been told to self-isolate after coming into contact with positive cases in school.
One of the market organisers, Georgiana Craster, said she was aware of the closures and of the anxieties locally and called on attendees to respect social distancing.
Georgiana said: “We were issued with the licence from Scottish Borders Council yesterday to go-ahead.
"We have a staggered entry, we have hand sanitisers. If it was me going to the market and it wasn’t me organising I would probably would say forget it and not go.
"If people respect what they are supposed to do, to keep the two metres distancing and if you feel uncomfortable put a face mask, even though you are in the open air, then hopefully everything will be fine.
"The fact is you have thousands of people diverted to London for a football match and nobody says anything. The spread has been so advanced because of this flipping football match.
"I can’t shut it down because people want it. It would be much easier for me and less expensive to stay at home and it is up to the people if they want to come along or not.
"If you feel uncomfortable then I would just say to people not to come along. I will be wearing a mask and we will follow the rules as they have been set up.”
The market is being held from 11am to 2pm.