Wisconsin Gov. Scott Walker (R), who is exploring a presidential run in 2016, on Sunday said that a Supreme Court ruling in favor of same-sex marriage would not end the debate.

“If the court decides that, the only next approach is for those who are supporters of marriage being defined as between one man and one woman is ultimately to consider pursuing a constitutional amendment,” Walker said on ABC’s “This Week” when asked if the ruling would cease debate on the issue.

ABC’s Jonathan Karl then clarified with Walker that he would support an amendment to allow states to ban gay marriage.

“I believe that the decision on defining marriage should be left up to the states, yeah,” Walker responded.

Last year, when the Supreme Court declined to hear gay marriage cases in multiple states, including Wisconsin, Walker said that the state had lost its fight to ban same-sex marriage.

“For us, it’s over in Wisconsin,” he said. “The federal courts have ruled that this decision by this court of appeals decision is the law of the land and we will be upholding it.”