There was widespread criticism over the decision to go ahead with the four-day Cheltenham festival, which drew massive crowds, last week while other meetings also went ahead across the weekend.
Managing director Jonathan Garratt said a lot of essential staff were needed to run a race meeting but the general public would not be admitted.
There is a meeting at Kelso on Monday and no spectators will be permitted after advice was given by the Scottish government prohibiting gatherings of over 500 people due to the coronavirus pandemic.
"It probably means that the races move behind closed doors later in the week, initially until the end of March".
A statement from the sport's tripartite leadership, including the Racecourse Association, The Horsemen's Group and the BHA also indicated that some fixtures during that period may have to be cancelled in order to protect industry staff and to free up critical public services.
Nick Rust, chief executive of the BHA, said he was mindful of the impact the measures would have on local businesses. No spectators will be present and strict procedures will be observed to minimise the health risks for staff who do attend, including jockeys, trainers, racecourse staff, stable grooms and officials.
"We will agree on plans to limit participation to participants and staff only to race meetings starting this week and to implement contingency plans developed by the industry".
Speaking to Sky Sports, Cruddace emphasised that bringing race meetings behind closed doors will have serious financial consequences for ARC, with the chief executive estimating that ARC will lose between £ 500,000 and £ 600,000 if the Lingfield All-Weather Championships Finals Day were held without spectators.
"We are aware of the decisions taken by a number of sports today to suspend fixtures in advance of any government decision coming into effect.Racing's leaders are monitoring the situation daily and are now considering a range of options in this rapidly developing situation".
"The only thing we can do as a responsible company and, dare I say it, an industry, is to follow the government's advice".
The decision will cover all meetings to the end of month but, on Sunday, one leading industry figure, Martin Cruddace from the biggest racetrack operator ARC, said that the worst case scenario would see the situation last until the end of June. "If it happens before then, great".