The company will host a press conference on Thursday that will provide more details about what is described as an "over the air" update.
"Tesla Press conf at 9am on Thurs," Musk said in a tweet on Sunday. "About to end range anxiety ?via OTA software update. Affects entire Model S fleet."
Range anxiety has been cited as a major concern among prospective buyers of the Model S and other electric vehicles, including the Nissan Leaf and Fiat 500e. It is a concern that the car's batteries will run out of power before the driver reaches the destination.
In addition to the over-the-air update, Tesla has been increasing the number of its Supercharger stations in North America. As of Monday, the automaker reported it has set up 401 Supercharger stations with 2,207 Superchargers.
Extended driving range, coupled with an affordable price, has been the Holy Grail for automakers producing electric vehicles.
GM last month said it will produce a "game-changing, long-range pure electric for all 50 states" based on the Chevrolet Bolt EV concept. The production version of the Bolt will offer buyers an estimated 200 miles of range at a target price of around $30,000.
Edmunds says: Tesla is aiming to make range anxiety a non-issue for car shoppers, something that will indeed be a game changer.