"The President did talk with him in the days before he was named special counsel", Ruddy told PBS on Monday in the same interview where he said Trump was "considering terminating" Mueller as special counsel.
Schiff says that if Trump fires Mueller, Congress might name its own independent counsel to investigate the case.
High-profile supporters of President Donald Trump are turning on special counsel Robert Mueller, the man charged with investigating Russian interference in the US election and possible collusion with Trump's campaign.
After Ruddy's comments went viral on Monday night, White House press secretary Sean Spicer noted that Ruddy hadn't spoken with Trump on Monday and said only Trump or his attorneys were authorized to comment on the matter. "With respect to this subject, only the president or his attorneys are authorised to comment".
In appointing Mueller last month, Rosenstein said that the "public interest requires me to place this investigation under the authority of a person who exercises a degree of independence from the normal chain of command".
Deputy Attorney General Rod Rosenstein assured Congress Tuesday that he would obey a presidential order to fire Mueller only if it were "lawful and appropriate".
Some of President Donald Trump's closest allies - including one of his sons - have begun questioning whether Mueller's wide-ranging probe is becoming too political, as the investigation into Russian meddling in the 2016 election intensifies.
The deputy attorney general appointed Robert Mueller as special counsel nine days after Trump fired FBI Director James Comey, who had acknowledged he was leading an investigation into possible ties between the Trump campaign and Russian Federation. Scott, confidants of the President say this presents yet another conflict for Mueller.
I think that Mueller shouldn't have taken the position if he was under consideration and had a private meeting with the president and was privy maybe to some of his thoughts about that investigation or other matters before the bureau.
"I don't think Trump should do anything but the congressional Republicans ought to look into it", Gingrich said. After all, the current version of Special Counsel was created under the Clinton administration, with the rules drafted by Janet Reno's Justice Department to put distance between the White House and Justice.
"It's a mistake to pretend that this is going to be some neutral investigation", Gingrich said.
Conservative allies are adding pressure on the special counsel overseeing the investigation into alleged Russian interference in last year's election.
Christopher Ruddy, chief executive of conservative group Newsmax Media, Mr Ruddy was at the White House on Monday, but U.S. media reported that he did not meet Mr Trump while there. If such an investigation is to proceed, it should be headed by someone who has no personal relationship with either the president or Comey.
"In this kind of environment, I don't give the benefit of the doubt to somebody who can only hire Democrats, but claims that we ought to trust him", Gingrich said on "CBS This Morning".
Ruddy issued a terse response directed at Spicer, but also admitted he didn't speak to Trump personally about this. And it seemed to be as much a warning as a trial balloon; even before that interview aired, Ruddy and others were warning Trump strongly against that course of action. Ruddy acknowledging that, but doubling down.