(CNN) -- Sen. John McCain said Sunday he would not necessarily support his former running mate if she chose to run for president.


Sen. John McCain and Gov. Sarah Palin embrace after election results were in November 4.

Speaking to ABC's "This Week," McCain was asked whether Alaska Gov. Sarah Palin could count on his support.

"I can't say something like that. We've got some great other young governors. I think you're going to see the governors assume a greater leadership role in our Republican Party," he said.

He then mentioned governors Tim Pawlenty of Minnesota and Jon Huntsman of Utah.

McCain said he has "the greatest appreciation for Gov. Palin and her family, and it was a great joy to know them."

"She invigorated our campaign" against Barack Obama for the presidency, he said.

McCain was pressed on why he can't promise support for the woman who, just months ago, he named as the second best person to lead the nation.