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 Baucus (D-Mont.), Sen. Charles Schumer (D-N.Y.) and Democrat Bill Nelson 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.