"No, I don't think so," Riester told the BFMTV broadcaster, when asked whether the cathedral would remain closed within five years.
Riester did not say exactly when Notre Dame could reopen for visitors.
READ MORE: First Satellite PHOTO of Fire-Ravaged Notre Dame Appears Online
French President Emmanuel Macron on Tuesday pledged to rebuild the iconic 850-year-old cathedral within five years.
A massive fire broke out at Notre Dame late on Monday evening, causing the collapse of the cathedral's spire and two-thirds of its roof. The blaze was fully extinguished only on Tuesday morning.
Macron has described the incident as a "terrible tragedy."