UNC-CH administrators say the redirection would be detrimental to the University community, which generates roughly 70 percent of the system's overhead receipts.
"If it is a $7 million cut, we would definitely have to look into making some changes," said Tony Waldrop, UNC-CH vice chancellor for research and graduate studies.
The Senate's version of the budget does not withhold any overhead receipt funds, and the two chambers will have to reach a consensus on the issue in conference meetings that started last week.
Overhead receipts, also known as facilities and administration funds, are included in federal grant money and are intended to cover additional research costs such as maintenance and utilities.
State legislators and universities have been at odds over the funds because the state already pays for many of the items funded by overhead receipts, leaving institutions with additional money.
Initially state representatives recommended taking larger amounts of overhead receipts from UNC-system schools and even redirecting them outside of the system.
Rep. Art Pope, R-Wake, proposed an amendment to the House budget putting 10 percent of the receipts in the state's rainy day fund and its repair and renovation fund.
Several other legislators called for taking even larger amounts from overhead receipts.
But Waldrop said all of the University's $75.1 million in receipts for the current fiscal year will be used for necessary programs and services. Among other things, receipts are used for employees' salaries, construction projects and library funding.