Two top aides to President-elect Donald Trump denied a published report on Saturday that he is planning to hold a summit with Russian President Vladimir Putin weeks after taking office.

The Sunday Times of London reported that Trump had told British officials that such a summit was being planned, possibly to be staged in the Icelandic capital of Reykjavik.

'The story is a fantasy,' one Trump aide told Reuters, speaking on condition of anonymity. Another said the report was not true.

Trump, who takes office on January 20, has spoken of seeking warmer relations with Russia.

Two top aides to President-elect Donald Trump (left) denied a published report on Saturday that he is planning to hold a summit with Russian President Vladimir Putin (right) weeks after taking office

Britain has been among the biggest critics of the Kremlin, in particular providing assistance for President Bashar al-Assad in Syria. Prime Minister Theresa May (above) is expected to meet with Trump in February

He told the Wall Street Journal on Friday that he would 'at least for a period of time' maintain sanctions against Russia put in place by President Barack Obama for cyber hacking.

But Trump suggested to the newspaper that he might lift the sanctions if Russia proved helpful in the fight against Islamic State militants and on other U.S. objectives.

In addition, an US-Russian alliance could spell trouble for Britain, which has been among the biggest critics of the Kremlin, in particular providing assistance for President Bashar al-Assad in Syria.

British sources fear that a frosty relationship between Theresa May and Putin could affect trade with America, if Trump cosies up to the Russians.

According to the Sunday Times, British intelligence services are also keen that a new 'special relationship' would not compromise the security of British agents working in Russia.

It follows the leaking by former MI6 agent Christopher Steele of the now-infamous 'dirty dossier' regarding allegations surrounding Donald Trump and a Moscow hotel room.

A meeting between Trump and May is expected to be organized for late February.

Two of Trump's cabinet picks, Secretary of State nominee Rex Tillerson and Defense Secretary nominee James Mattis, have signaled a far harsher tone toward Moscow in their Senate confirmation hearings.

U.S. intelligence agencies blame Russia for cyber hacking that interfered with the U.S. presidential election. Trump has said he accepted the intelligence agencies' conclusion.

On Saturday, FBI Director James Comey refused to confirm whether or not the bureau is investigating links between President-elect Trump and Russia.

In a closed-door briefing on Friday, the law enforcement officer said he would 'never comment' on a potential FBI investigation.

The Justice Department's Inspector General Michael Horowitz announced on Thursday an investigation will be carried out to look at whether Comey followed policy and if he improperly disclosed nonpublic information regarding the Clinton campaign.

Critics said Comey's decision to stay tight-lipped was hypocritical referring to the time he broke protocol during a press conference where he explained why he wouldn't charge Hillary Clinton for the email scandal.

US intelligence official James Clapper released a report last week saying the agency had found ties between the Putin and Trump and found evidence that the Russian government staged cyber attacks on the US to influence the election.