Ginsburg has said she will continue to serve on the Supreme Court as long as she is able to do the job.
Doctors say that there was "no evidence" of disease after the surgery and that "currently, no further treatment is planned".
Ginsburg had surgery December 21 for two malignant nodules in her left lung, the 85-year-old justice's third bout with cancer.
"Roe, I believe, would have been more acceptable as a judicial decision if it had not gone beyond a ruling on the extreme statute before the court", she wrote in the North Carolina Law Review.
During her recovery, according to NPR, she will participate in cases before the Supreme Court from her home. But the 85-year-old justice will miss court arguments next week.
The White House is even working on a short-list of possible nominees to replace Ginsburg, who broke her 25-year streak when she began missing oral arguments on Monday. Her husband, Martin Ginsburg, died in 2010 due to complications of metastatic cancer. "She already had the rib fractures to deal with when she went into it".
Heavy attention is given to Ginsburg's health amid liberal worries that, if she dies or has to retire for health reasons, Trump would get another pick and lock the high court into a conservative ideology for a generation to come.
Ginsburg's absence from the bench has left supporters particularly concerned, as she bounced back fairly quickly from previous cancer surgeries in 1999 and 2009.
But should she not return for the February 19 public sessions, there will likely be renewed concern for the liberal justice's future.
She has become best known for her opinions related to civil rights issues, including the landmark case opening up the Virginia Military Institute to women. Senate Republicans had to change rules in order to eliminate the filibuster, allowing Supreme Court justices to be confirmed with a simple majority of Senate support.
"The White House is urging outside allies to be prepared for another bruising confirmation battle should Ginsberg's health take a sudden turn for the worse, according to four sources with knowledge of the overtures", Politico reports.