Lawmakers are meeting with the president this week to begin talks on a fiscal deal, Daniel Strauss reports.
In the interview, Corker said he met wealthy residents in Tennessee, whom he described as both Democrats and Republicans, who are willing to contribute more taxes.
He added entitlement reform must be implemented in order to inform people of progress against the deficit, the report said.
Corker said those reforms would not have a short-term effect on the economy.
House Speaker John Boehner said earlier this week the GOP is open to new revenues in a fiscal compromise.