"I remain hopeful that we will get a deal. I am not as confident as I was say 10, 12 days ago, but I'm just as hopeful that we will," the lawmaker said on MSNBC's "Andrea Mitchell Reports."
The South Carolina congressman denied that the committee was deadlocked, but said rather that members "hadn't quite coalesced" around a plan yet.
The group, which is tasked with proposing $1.5 trillion in savings over the next 10 years, must offer its recommendations by Nov. 23. A failure to reach a deal will trigger automatic, across-the-board spending cuts.
"A lot of things are on the table, we are still discussing these things. The members are very positive on both sides of the aisle, there's some tweaking of things here and there," he added.
For a look at the possible repercussions of a supercommittee failure, click here.