People are likely to be urged to think carefully about travelling and to stay local where possible.
However, it is unlikely the agreed rules - allowing up to three households to mix for five days - will change.
Officials from all four nations held talks on Tuesday - and more are scheduled to take place on Wednesday.
It comes amid concern that relaxing the restrictions will fuel a further surge in Covid-19 case numbers.
Two leading medical journals described the current rules as "rash".