McCain, the 2008 Republican presidential nominee, was resting comfortably at home in good condition after the Friday operation, his office said.
McCain had a procedure that removed a 5cm blood clot above his left eye, his office announced in a statement on Saturday.
McCain has expressed concern about the health care bill but has not said how he would vote.
Two Republicans, Rand Paul of Kentucky and Susan Collins of ME, have already said they'll vote against the measure. Senate Majority Leader Mitch McConnell can not lose any others for the legislation to survive a showdown vote expected next week.
John McCain ordered to rest one week following surgery for a blood clot, the vote on the new version of the health care bill won't occur until he returns, two congressional aides told CNN on Saturday night.
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Senate Majority Leader Mitch McConnell says he's deferring consideration of the Republican health care measure. Along with all 48 senators in the Democratic Caucus - and without McCain - that would be enough to block the bill from proceeding to debate.
McCain, 80, had the procedure done at the Mayo Clinic Hospital in Phoenix following an annual physical. "Tissue pathology reports are pending within the next several days".
"Senator McCain received excellent treatment at Mayo Clinic Hospital in Phoenix, and appreciates the tremendous professionalism and care by its doctors and staff. Surgeons successfully removed the 5-cm blood clot during a minimally invasive craniotomy with an eyebrow incision", the Mayo Clinic said in a statement.
As for McCain, there were plenty of well wishes for the Senator from Arizona.