The memo, which was sent to White House staff on Tuesday, comes after Senate Democrats last week asked the White House and law enforcement agencies to keep all materials involving contacts that Trump's administration, campaign and transition team or anyone acting on their behalf have had with Russian government officials or their associates.
The Senate intelligence committee, which is investigating Russia's role in the 2016 election, has also asked more than a dozen organizations, agencies and individuals to preserve relevant records.
President Donald Trump has been dogged by questions about his advisers' ties to Russia since the campaign. Federal investigators have been looking into possible contacts between Trump advisers and Russia, while congressional committees are investigating Russia's role in political hacking during the campaign.
The intelligence community has assessed that Russia's hacking of Democratic groups and operatives was carried out to help Trump defeat Democrat Hillary Clinton.
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Congressional staffers have said they are not aware of any evidence that materials related to Russia are not being preserved.
But Senate Democratic leader Chuck Schumer of New York said last week: "There is real concern that some in the administration may try to cover up its ties to Russia by deleting emails, texts and other records that could shine a light on those connections. These records are likely to be the subject of executive branch as well as congressional investigations and must be preserved."
The White House has launched an aggressive effort to discredit the report, including enlisting GOP chairmen of the congressional intelligence committees to push back against it.