"There are around 50-80 devotees accompanying me. Over 3,000 people from across the world are undertaking this pilgrimage. But according to an order by China, we are not being allowed to take a holy dip in the Mansarovar Lake," Mr Thakur claimed in the video.
If we are not being allowed, why were we issued visas and permits? he asked and told news agency ANI, "We won't leave this place if we aren't allowed to perform the ritual."
However, Ms Swaraj said that no one can take a dip "just anywhere in the river". "There is always a designated place where you can take a bath," she said while addressing a press conference in Delhi on the completion of four years of the NDA government.
The Nathu La route was opened to Indian pilgrims in 2015. After crossing over the pass, the pilgrims are ferried to Kailash.
(With inputs from ANI)
Election Results for Lok Sabha Election 2019 will be out on May 23. Get the latest election news and live updates on ndtv.com/elections. Catch all the action on NDTV Live. Like us on Facebook or follow us on Twitter and Instagram for news updates from each of the 543 parliamentary seats for the election 2019