Police are urging the public to heed the local message of staying in Wales as pubs begin to open in England.
As a result, some people will travel by train or car to cities across the border to enjoy a pint.
Prime Minister Mark Drakeford has said that he does not want the hard work to control coronaviruses to be abandoned.
The train operator Transport for Wales also stressed that public transport should only be used for essential journeys.
Prime Minister Mark Drakeford announced on Friday that travel restrictions in Wales will be lifted, but that will not take effect until Monday.
And while pubs in England can open from 6:00 a.m.BST on Saturday, those in Wales will not start welcoming bettors into outdoor spaces until July 13.
Gwent police said they would engage with communities to reinforce the “stay safe, stay local” message over the weekend.
“Our force zone is at one of the main gateways to Wales,” said a force spokesman.
“We would like to remind our communities that there are still differences in policy in Wales and England, and that any changes to government directives have not yet taken effect in Wales. “
Some football fans in Newport and Cardiff have used social media and online forums to highlight the Cardiff City match on Saturday in Bristol, where pubs will be open.
Force Gwent has said it will continue to patrol regularly to bring its message home this weekend, before travel restrictions are lifted in Wales from Monday.
He warned that “people who ignore government advice” or “repeatedly fail to follow directions” would face enforcement measures, including barely fixed fines of up to £ 1,920 for repeat offenders.
Dyfed-Powys police have said they want to remind the public that traveling in large groups or with people outside your own home “is still not allowed.”
They added: “It is also essential that anyone who plans to consume alcohol outside their home make sure that they are fit to drive before doing so, or arrange some other form of transportation.
“Drunk driving can have tragic consequences, and after three months of rallying the country for the NHS, we hope everyone continues to act responsibly and stay safe this weekend. “
Addressing the same issues before the weekend, the Prime Minister repeated the message of the local stay: “So, even if there are people very close to the border who can choose to travel, for most of us , this will not be possible.
“So please, wherever you are in Wales, this weekend is not a reason or an excuse to give up all the things that you have worked so hard to achieve, please continue to do those things that help keep Wales safe. ”
James Price, Managing Director of Transport for Wales, said: “Covid-19 is a changing situation and over the next week there will be significant changes in the advice of the British and Welsh governments.
“However, we need to step up our campaign for safer travel, stressing that public transport is essential travel and where there are no other travel alternatives”