Romney's campaign is "still pushing for conservative support and that was obviously the motivation behind the meeting," Phillips added.
While he didn't attract any new endorsements or at least none that was immediately publicized Romney may be attracting some support that he previously lacked with the conservative flank in Congress.
Sen. Jim DeMint, a tea party luminary, was in the same meeting as Lee and told CNN after that he's "excited" about Romney as the GOP presidential nominee.
"I can tell conservatives from my perspective… that, I'm not only comfortable with Romney, I'm excited about the possibility of him possibly being our nominee," DeMint, R-S.C., told the news outlet. "Again, this is not a formal endorsement and I do not intend to do that right now, but I just think we just need to look at where we are."
Lee is the lone holdout among Utah's Republican members of Congress; Sen. Orrin Hatch and Reps. Rob Bishop and Jason Chaffetz are backing Romney.