Anderson, who broke the world record for the fastest ODI century soon after bursting into international cricket last year, was a much sought after player in the IPL players' auction.
Defending champions Mumbai Indians eventually grabbed him for a whopping Rs 4.50 crores (USD 750,000).
"There's no fracture, no break and we're very happy with how the injury is going," Anderson was quoted as saying.
The 23-year-old's statement came after he visited a specialist in Auckland last week.
"The ligaments are all fine too; everything else is good to go. Everything went well and the news was all positive," he said.
Anderson had hurt his dislocated right little finger during the World Twenty20 in Bangladesh in a match against Sri Lanka.
The injury had triggered speculation of him either giving the IPL a miss or joining the squad late.
The IPL will kick off April 16 in the UAE with defending champions Mumbai Indians taking on the Kolkata Knight Riders in Abu Dhabi.
The first half of the IPL (from April 16 to 30) is being played in the UAE due to a clash of dates with the general elections in the country.


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