"We continue to work closely with Senate Republicans as well as other members of Congress on the questions and continue to be very cooperative, very collaborate with our friends up here on the Hill," Ueland said.

Ueland reiterated that the White House views the House process as "fatally flawed" and that there were "great, open, clear" lines of communication with the Senate.

The meeting between Cipollone and McConnell is the latest sign that Republicans are ramping up for an impeachment trial that would start in January.