Former Minnesota Gov. Tim Pawlenty said Sunday that he's told Mitt Romney's presidential campaign to look elsewhere for a running mate.

Pawlenty, who ran last year for the GOP nomination before dropping out and endorsing Romney, told CBS' "Face the Nation" that he thinks he could serve the Republican ticket better in other ways.

Pawlenty, 51, said being asked to run as vice president with Romney would be an honor. But he added that he's "encouraged people who asked this question in the campaign to look at other prospects."

The national attention has been a resurgence from the humiliation of a third-place finish in last summer's Iowa straw poll that cut short Pawlenty's two-year quest for the White House. But that experience also makes him a battle-tested contender for a GOP campaign that feels no need to take chances against President Obama.