"Modiji is going to come in May. I will give them dates today. This is a preparatory visit," she told the Indian media after she addressed the Indian Community here.
Prime Minister Modi has had three successful meetings with Chinese President Xi Jinping, the most important being during President Xi's visit to India in September last year.
He also had an occasion to interact with Premier Li Keqiang, Swaraj, who arrived here yesterday on a four-day visit, said.
"It is a big thing," she said.
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The route is expected to provide more comfortable journey experience to pilgrims with a facility to travel to Kailash-Manasarovar directly by buses.
Modi's visit to China is a reciprocal one by President Xi to India in September last year.
The visit is expected to put at rest concerns in China arising out of US President Barack Obama's second visit to India that some analysts here say is aimed at scuttling burgeoning India-China ties.
Speculation is rife that Modi will be visiting Kailash through the new route when he arrives on his maiden visit to China as the Prime Minister.
Xi is expected to take him to Xian, capital of his home province Shaanxi, to recreate the bonhomie generated by Modi who had taken the Chinese President to Ahmedabad, the capital of his home state Gujarat.
Earlier addressing the Indian community of Beijing at the Indian Embassy here today, Swaraj appealed to the overseas Indian community to join various campaigns like 'Clean India', 'Clean Ganga' and 'Beti Bachao Beti Padao' initiated by Modi to help India progress.
Today Swaraj met her Chinese counterpart Wang Yi.
"I myself have had the privilege of engaging my counterpart Foreign Minister Wang Yi, who incidentally was the first Foreign Minister we invited to India after our assumption of office," she said while addressing the second India-China Media Forum.
"We expect that the momentum that has been set in the last few months would not only be kept up but accelerated event further at various levels," she said.