Former CIA director John Brennan and former director of national intelligence James Clapper are also scheduled to testify.
Ramping up their Congressional investigation into alleged Russian meddling in the 2016 election, lawmakers have invited directors of the FBI and National Security Agency to testify again, in addition to expressing a desire to hear from the Obama administration's top intelligence officials.
The invitations indicate that Conaway, who took over as the acting chairman of the committee, intends to follow through on his pledge to work in a bipartisan fashion on the investigation.
The US House Intelligence Committee on Friday said it has requested FBI director James Comey and others to testify as part of its Russian Federation probe, one of the investigation's first steps since its leader stepped down.
Two watchdog groups, Democracy 21 and Citizens for Responsibility and Ethics in Washington have asked the House Ethics Committee to investigate whether Nunes disclosed classified information from intelligence reports.
The committee's hearing schedule was stalled last month after Chairman Rep. Devin Nunes, R-Calif., disclosed that USA spy agencies had swept up communications of Trump associates.
In his final weeks leading the Russian Federation investigation - he remains the chairman of the committee on all other matters - Nunes raised questions about the handling of classified materials by members of the Obama administration, saying he had seen classified documents that showed that the identities of Trump campaign figures had been improperly revealed.
The House intelligence committee said Friday that it had sent letters requesting FBI Director James Comey and Adm. Mike Rogers, the head of the National Security Agency, to appear at a closed hearing on Tuesday.
Several White House officials played a role in revealing the documents behind Nunes's announcement, which he viewed on White House grounds the day before his comments.
The panel's chairman had focused largely on looking into whether Trump transition members caught up in US surveillance of other targets were "unmasked", or had their identities revealed.
Nunes held a press conference and later briefed President Donald Trump about the information.
Committee Democrats also were angered when Nunes scrapped a scheduled public hearing with Brennan, Yates and Clapper.
Senate investigators now are interviewing analysts and intelligence agents who prepared public and classified reports in January that concluded that Russian Federation had interfered in last year's election on Trump's behalf, an official familiar with the congressional activity said.