Higuain, 23, has been sidelined since November with a herniated disc and he went under the knife on Tuesday at the Northwestern University's Feinberg School of Medicine in Chicago, United States.
Dr Richard Fessler, who performed the surgery, was quoted as saying by the Spanish press: "The operation went very well. I have no doubt that in between two and four weeks he will be able to run without problems, then in a period of 10 weeks after the operation he will be able to take part with the rest of his teams in all types of work.
"If everything goes well, in three months he could be playing competitively, although it's also possible it could be four."
"Once you have a back problem, sometimes you will have pain and other times you won't. I think that he's going to have that, but not sufficiently strong as to affect him. All the American football and basketball players have returned to play at 100%."