Former Secretary of State Hillary ClintonHillary Rodham ClintonJuan Williams: Trump's budget hurts his voters Is it still possible to stop ‘Big Tech’ from killing democracy? Hillary Clinton for 2020 ‘not a good question,’ says Rahm Emanuel MORE joked on Tuesday that her husband, former President Bill ClintonBill ClintonLewandowski: 'I would clearly look at' White House job Washington needs high-level science and technology expertise – now! House lawmakers pitch ban on North Korean tourism MORE, has "playdates" with his predecessor, George H.W. Bush, making them the "classic odd couple of American politics."

"Now, 41 and 42, as they sometimes call each other, are — let's face it — the classic odd couple of American politics," she said.

"They just had one of their annual play-dates up in Kennebunkeport this past week. Barbara Bush has even started referring to Bill as her adopted son, sometimes as the adopted black sheep son. I don't know how Jeb and his siblings feel, but I know Bill loves it because of his great admiration and affection for 41 and all that they have done together," she said.

She took the stage at a ceremony at the National Constitution Center honoring her work in public service shortly after a potential 2016 opponent, former Florida Gov. Jeb Bush, spoke.

Clinton noted that it wasn't the first time a Bush and a Clinton had shared that stage — both Bill Clinton and George H.W. Bush were honored there in 2006.

"So today, Jeb and I are not just renewing an American tradition of bipartisanship; we're keeping up a family tradition as well," she said.

Bush had received some criticism from conservatives who said Clinton shouldn't have been awarded a medal in the first place, due to what they believe are still-unanswered questions about the attack on the U.S. embassy in Benghazi.

But Clinton attempted to defuse any controversy, praising her potential opponent for his work as chairman of the board of trustees of the NCC and noting the values they share.

"We also share something that is far more important than any of our political differences: We both love this country and we believe in the wisdom of our founders and the Constitution," she said.