During her two-day stay, Swaraj will call on Lankan Prime Minister Ranil Wickremesinghe and hold talks with her counterpart Mangala Samaraweera.
She is also expected to call on President Maithripala Sirisena, seen as a precursor to the visit by Modi on March 13.
This is Modi's first visit to Sri Lanka during which he is likely to travel to war-ravaged Jaffna in Tamil-dominated Northern Province and Trincomalee in the Eastern Province.
Modi's visit will be a return for Sirisena's visit here last month that saw the two countries sign a civil nuclear pact.
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It was Sirisena's first overseas visit since becoming the president in January.
India-Sri Lanka relations had seen tensions during last few years of former President Mahinda Rajapaksa, who was voted out of power, as China had expanded its footprint in the country by building ports, highways and participating in other infrastructure projects.
Modi will be the first Indian Prime Minister since Rajiv Gandhi in 1987 to visit the island.