Non-deliverable forwards indicate the rupee will open at 83.10-83.12 to the U.S. dollar, compared with 83.4625 in the previous session.
The "big down move" at the open for the dollar/rupee will "likely run into good buying interest", a forex trader at a bank said.
"Only once the actual results confirm what the exit polls are forecasting do I think that a dip below 83.00 is possible."
Weekend exit polls projected the alliance led by Modi's Bharatiya Janata Party (BJP) to increase its 303 seats in the 543-member lower house of Parliament and possibly get a two-thirds majority.
Exit polls in India have a patchy record, often getting the outcome wrong. The actual results will be announced on Tuesday.
"If the exit polls are accurate ... it would leave the BJP with a very strong mandate from which to continue enacting growth-enhancing structural reforms," Capital Economics said in a note.
Goldman Sachs said that "political continuity would contribute to a stable macro-economic environment and continuing reforms."
The rupee dropped 0.2% on Friday, in the lead-up to the exit polls.
On Friday, we witnessed "sizable" hedging from importers and dollar short exits, another fx trader said.
"These positions will need to be rebuilt and is good in a way (for the rupee)," he said.
Following the election results on Tuesday, the focus will shift to the Reserve Bank of India's policy decision and U.S. non-farm payrolls, both due Friday.
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