The Nottinghamshire all-rounder is England's T20 captain but the missed the recent drawn series with the West Indies because of a muscle tear that he picked up during a one-day international against the Indians at the Oval.
Initials reports hinted that the 25-year-old could be out for two months, but he is hopeful of regaining the captaincy from Graeme Swann in time for the match at Eden Gardens on Saturday, October 29.
"It's going okay," Broad told Sky Sports News. "The muscle's torn so it takes time to heal. I've got another week's rest then it's rehabilitation in October.
"It's a intense rehabilitation programme and I'm looking forward to getting under way
"I've got it in mind that I want to play that Twenty20 game in India. It's a tight target but you've got to have those targets to get you through the mornings in the gym."
England are currently preparing to defend the T20 World Cup, which takes place in Sri Lanka next year.