Rivera, 43, suffered a torn anterior cruciate ligament and a torn meniscus in his right knee in May and signed a one-year, $10 million deal to return to the Yankees earlier this offseason.
"Oh, yeah, I don't see why not," Rivera told the New York Daily News last month when asked if he would be playing on opening day. "We have at least three months, four months until that point. I'll be ready."
The Yankees open the 2013 season on April 1 against the Boston Red Sox.
Rivera is Major League Baseball's career saves leader with 608 in his 18-year career.