The course is owned by a foundation operated by SunTrust Bank.
With financial losses at Hillandale over the last few years, the bank decided to close the course and give workers their notice.
Despite the impending close date, golfers remain optimistic the City of Durham will step in.
"Losing Hillandale would be a big blow to Durham, so I'm kind of in favor of them taking over," golfer Stu Burns said.
SunTrust has offered to donate the course to the city, but there are some financial strings attached.
"I certainly don't want to see them inherit any of these bad contracts, though, 'cause I don't understand how this place is losing money to begin with," Burns said. "It sees more play than any other course around."
City leaders have said they would be willing to operate the course but not take on its financial burdens.
So far, no decision has been made. SunTrust says it can't disclose the details of a potential last minute deals.