The announcement was made by Deputy High Commissioner of India Dr Virender Paul on Thursday.
The Indian government currently runs visa centres in Birmingham and London, as well as Edinburgh and Cardiff.
Leicester has a total population of 329,000, 28.3 per cent of which is of Indian-origin.
"We have eight centres in six cities and we are going to have six more in different cities. I am happy to say Leicester will be one of those. It will ease the problems of the Indian-origin community in Leicester having to travel. We realistically expect that in three to four months all the new centres should be up and running," Paul said.
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The announcement was made at a lunch reception held at the Peepul Centre in Leicester. Local councillors and dignitaries attended the lunch hosted by Vaz in honour of Paul, the new Indian Deputy High Commissioner who has recently arrived from Washington.
The occasion was marked by a symbolic release of balloons, one for each year of the campaign, which started in 1993.