The bipartisan leaders of the Senate Intelligence Committee said Wednesday they cannot yet conclude whether President Donald Trump's campaign colluded with Russia, adding that their teams are "within weeks" of finishing reviewing thousands of documents related to alleged Russian meddling in the 2016 election.

In a news conference, Republican Chairman Sen. Richard Burr of North Carolina and Democratic Vice Chairman Sen. Mark Warner of Virginia aimed to show their probe as a measured, bipartisan effort amid recent turmoil on the House intelligence panel. The senators said they wanted to finish the investigation in a "timely" fashion but stressed they did not want to rush it, steering clear of reaching conclusions about possible ties between Trump associates and Russia.

"We would be crazy to try to draw conclusions from where we are in the investigation," Burr told reporters.

The pair will interview Trump's son-in-law and advisor Jared Kushner about his contacts with Russian officials, but Burr said they have not yet set a date. While former Trump campaign manager Paul Manafort and associates Carter Page and Roger Stone have also volunteered to testify, according to NBC, the senators did not say if they will interview them.

Overall, the committee has requested to interview 20 people for the probe, and five of those have been scheduled so far, Burr said.