May 28 (Reuters) - Minneapolis Federal Reserve Bank President Neel Kashkari said on Tuesday the U.S. central bank should wait for significant progress on inflation before cutting interest rates.

"Many more months of positive inflation data, I think, to give me confidence that it’s appropriate to dial back," Kashkari told CNBC in an interview when asked about the conditions that are needed for the Federal Reserve to cut rates once or twice this year.

Kashkari also said the central bank could potentially even hike rates if inflation fails to come down further. (Reporting by Kanjyik Ghosh; Editing by Andrew Heavens)