Treasury nominee Lew makes rounds on Capitol Hill

"But as I always say, the devil’s in the details and there’s a lot more of Mr. Lew’s record and qualifications that need to be fully examined," he said. 

Hatch said the Senate Finance Committee, which will oversee his nomination, is still waiting to receive Lew’s paperwork, including his questionnaire and his tax returns to start the vetting process and set a hearing date. 

"I will decide whether I support this nomination when this process moves forward and more of my questions have been answered," Hatch said. 

Lew didn't respond to reporters' questions about how the meeting went. 

While posing for cameras ahead of the meeting, Lew was overheard mentioning a book to Hatch — an autobiography by Louis Brownlow, a political scientist who once called several of President Franklin Roosevelt's advisors men with "a passion for anonymity."

On Tuesday, he met with Senate Finance Chairman Max BaucusMax BaucusWyden unveils business tax proposal College endowments under scrutiny The chaotic fight for ObamaCare MORE (D-Mont.), Sen. Charles Schumer (D-N.Y.) and Democrat Bill NelsonBill NelsonThree more Republican senators to meet with Supreme Court nominee This week: Congress on track to miss Puerto Rico deadline Senate looks for easy wins amid 2016 gridlock MORE of Florida. 

Baucus said he is looking forward to a "quick but thorough confirmation process."

On Thursday, he is scheduled to meet with Sen. Pat Toomey (R-Pa.). 

Lew has been through the Senate's confirmation process. The last time was in 2010 for the OMB spot.