Ms Sturgeon added: 'On the specific about travel restrictions, if we think putting formal travel restrictions in places necessary, we will do that and I don't rule that out - I don't rule anything out'.
Bad news if you were planning a Welsh getaway anytime soon: as of 6pm tonight (Friday, October 16), anyone travelling from parts of England, Scotland, and Northern Ireland with high rates of coronavirus won't be able to enter Wales.
The Commons leader said: "What would you expect of a hard-left Labour government?"
"Whether you have guidance advising people not to travel or the law says you shouldn't travel, it stands to reason you can't have a police officer checking every auto or every journey people are making".
He added: "The Prime Minister could contact me today".
Wales has responded to the rise in cases in England by seeking to introduce a ban on people from high-risk areas crossing the border.
"I am determined to keep Wales safe".
But Downing Street rejected the ask from the First Minister on Tuesday evening.
Welsh First Minister Mark Drakeford stated that he was "determined to keep Wales safe" and stated that there was proof to propose that COVID-19 was "moving from east to west across the United Kingdom and across Wales".
He explained: "There'll be nobody posted on the border, there'll be no physical barriers of any sort".
Johnson's spokesman had earlier rejected the need for a ban because residents in the highest tier of the English lockdown system were already advised not to travel outside their area.
"We're going to do it - and I rule out nothing, of course, in combating the virus - but we are going to do it with the local, the regional, approach that can drive down and will drive down the virus if it is properly implemented".
However, a Welsh police chief has said that Drakeford's travel ban is "unenforceable" due to the "difficulty of identifying where people are coming from". "But it was very successfully enforced then, and it can be very successfully enforced now".
But Mark Drakeford said the Prime Minister's refusal to agree to implement travel restrictions showed the Conservative Party's "tin ear" to Wales.
"Mr Davies said that the people of Wales deserve to have sight of the data that underpins the Welsh Labour-led Government's position on this matter, so that they can be confident that the Government's actions are proportionate to the threat of the virus in their area".
Jacob Rees-Mogg has savaged Wales' plan to close its borders in an attempt to restrict the spread of the coronavirus.
The Welsh government has also pointed out that similar measures were in place in March with the "stay local" rules, which provided an enforceable restriction on people travelling to other areas of the country at the height of the pandemic.