Rivers may also rise in parts of west Madhya Pradesh, Jharkhand, north Madhya Pradesh, Maharashtra and Gujarat due to "heavy to very heavy falls at isolated places", it said.
"Due to this, rivers in Sone basin, Southern Ganga tributaries between Allahabad and Ballia, basins of Ken, Betwa, Chambal, Mahi, Sabarmati and Narmada are likely to rise rapidly," the ministry said in a statement.
The rainfall is likely to decrease from Sunday onwards, it added.