The department said Marathwada, Central Maharashtra and Central India will benefit the most.
"Conditions are favourable for the onset of southwest monsoon over Kerala and its further advance into some more parts of south Arabian sea, remaining parts of Maldives - Comorin area, some parts of Tamil Nadu and some more parts of Bay of Bengal during the next 24 hours," said a statement by the Indian Meteorological Department.
The global body added that national meteorological and hydrological departments in both countries are working closely with health and disaster management agencies to roll out heat health action plans.
Temperatures in 17 locations breached 48 degrees Celsius on Monday, with the relentless heat affecting health and livelihoods across large parts of northwestern and central India.
Southwest monsoon hit Kerala on Friday marking the start of the rainy season, four days after its normal onset date.
India is set to experience extreme heat during the April to June period, with the central and western peninsular parts expected to face the worst impact, the IMD said on Monday as the country prepares for seven-phase general elections from April 19.
The India Meteorological Department attributed the westerly wind and moisture incursion from the Arabian Sea as the reason behind the spell.
According to the IMD, a rain event is categorised as a cloudburst if a weather station receives 100 mm of rain in one hour.
Amid a cold wave prevailing in parts of northern India, Palam in Delhi recorded a minimum temperature of 6.5C while Safdarjung recorded a minimum temperature of 5C, said India Meteorological Department on Monday.