The Honda Fit/Jazz hybrid isn't coming to India anytime soon. It's not entering US, its primary market in the first place as Honda is finding it hard to price it right.
After the Insight, the hybrid vehicle brought in to compete with the Toyota Prius, backfired, Honda is not willing to let another one slip. It is taking its time with the Jazz hybrid which will be priced lower than the Insight.
Honda Executive Vice President Koichi Kondo -
There are plenty of people who think that the current Fit (Jazz) meets their needs already. A hybrid version might seem expensive. Our engineers are really struggling.
Japanese auto companies in India are interested in selling hybrid vehicles here and if the Jazz hybrid is launched in Japan, could it find its way to India?
Source - Burlapp Cars