Previously, the president has blasted AT&T and Time Warner's merger plans - and during the 2016 election he threatened to block the companies from combining under his watch.
CNN has become a focal point in gaining competition approval for telecoms giant AT&T's $85.4bn (£64.7bn) bid to buy rival media giant Time Warner, which was announced last October.
Nevertheless, a group of eight Democratic US senators on Friday wrote to Makan Delrahim, head of the Justice Department's antitrust division, urging the department "to oppose any attempt by the White House to interfere with antitrust law enforcement decisions, particularly for political reasons".
Delrahim has said he prefers "structural" changes to a deal, like selling off assets, rather than having the government monitor a company's promises to abide by certain conditions, as was done with Comcast. "I do feel you should have as many news outlets as you can-especially since so many are fake". The Justice Department has asked that assets like cable news network CNN and satellite provider DirecTV be sold, according to people familiar with the matter. AT&T CEO Randall Stephenson issued a statement that he "never offered to sell CNN" and has "no intention of doing so".
Some US commentators claim president Donald Trump - a severe critic of CNN - is behind the DoJ's alleged demands. The Wall Street Journal has revealed that Kushner was particularly very annoyed with the cable news agency's "fact-checking" during the presidential campaign.
In an email provided by a DOJ spokeswoman, White House spokesman Raj Shah said that Trump "did not speak with the attorney general about this matter", and that "no White House official was authorized to speak with the Department of Justice on this matter".
The newspaper's source in the White House said that this was meant merely as a joke and Kushner did not mean to be taken seriously. The Justice official said no decision on the deal has been reached yet and that conversations continue.