The Prime Minister is expected to call for greater ties to the EU when he addresses the House of Commons on Monday.
Prime Minister Andy Burnham says Russia interfered with the 2016 Brexit referendum.
Mr Burnham also said similar activities are taking place in other European countries such as France and Germany.
When asked if there had been possible Russian interference in the referendum, Mr Burnham told The Rest is Politics podcast: “I’ve had the clear answer that yes, there was.
“I think we’ve been too much on the back foot on that actually and we haven’t informed people sufficiently about the extent to which people are seeking to disrupt the political process from overseas.”
While he did not detail Moscow’s activity during the referendum, he said he has discussed the issue of Russian interference with German Chancellor Friedrich Merz.
Mr Burnham added: “There is certainly misinformation, disinformation that is emanating from Russia into German politics.
These things are important now to put clearly on the record and I believe help voters in Germany and France understand that some of this politics is instigated via our enemies, namely Russia.”
Back in 2020, Westminster’s intelligence and security committee published a report into Russian interventions in UK elections and referendums. While it did not provide a definitive conclusion on whether Russia had attempted to influence the results of the EU referendum, it did criticise successive governments for failing to fully assess and counter the threat.
At the time, the Russian foreign minister said the report was “Russophobia” and the Kremlin said Russia did not meddle in other countries’ elections. The former Conservative government also said it was “almost certain that Russian actors sought to interfere” in the snap 2019 general election.
A spokesperson for 10 Downing Street said: “We are focused on ensuring our citizens and our institutions are protected from foreign powers and their proxies seeking to threaten lives and undermine our democratic values.
“We are doing this by strengthening our powers through the National Security Act, strengthening the resilience of our institutions and critical national infrastructure, strengthening our borders, and strengthening our police and intelligence agencies.”
He will argue it is time to “face up to the reality that Brexit has done more harm than good” and “the status quo is not good enough for Britain”.
Mr Burnham will also claim that if he can secure a new deal with the EU to tackle illegal immigration and boost economic growth, “the vast majority of the public would expect us to take it”.
A Number 10 source said: “Andy understands why some politicians don’t want to face up to the reality that Brexit has not delivered what they once promised.
“But it is time for a different conversation about what our long-term relationship should be.
“Sticking with the status quo and not working relentlessly to secure a good deal that boosts growth would be a major dereliction of duty.”