The 1982 movie was based on Philip K. Dick's futuristic novel, Do Androids Dream of Electric Sheep? The big-screen adaptation followed Ford's character Rick Deckard, a retired police officer called upon to help round up replicants -- human-like robots -- which have been outlawed on Earth.
"We believe that Hampton Fancher and Michael Green have crafted with Ridley Scott an extraordinary sequel to one of the greatest films of all time. We would be honored, and we are hopeful, that Harrison will be part of our project," Andrew Kosove and Broderick Johnson, co-founders and chief executive officers of Alcon Entertainment, said in a statement Thursday.
Ford, 71, has not publicly responded to the offer. He recently began work on another eagerly awaited sequel, Star Wars: Episode 7.