Mitt Romney: General election 'started yesterday'

Although Newt Gingrich and Ron Paul are still running against Romney, Romney has a strong lead and Santorum was his closest competition in the delegate count.

Santorum did not officially endorse Romney as the nominee in suspending his campaign, but Romney said they have talked and are "on the same page" on many issues.

"I expect when I finally become the nominee, I hope that happens soon, that we'll be campaigning together, we'll be working together," he said of Santorum. "The time for that will happen down the road as we spend more time together, hit the trail together."

Santorum's press secretary earlier on CNN said Santorum "vowed" to help Romney rally the conservative base behind him as the presumptive nominee.

"The campaign started yesterday, the general election," Romney continued on Fox News. He then pivoted to counter recent attacks by President Obama's campaign, launching an aggressive push-back on Obama's appeal to female voters — an area where Obama's campaign, along with the Democratic National Committee, has hit him hard this month.

Romney on Fox News said "women in particular have suffered under this presidency." His campaign has been pushing the statistic that 92 percent of the jobs lost under Obama were women. The statistic accounts for jobs lost since January 2009.

A recent Gallup poll in multiple swing states showed Obama with a strong lead on Romney among women.

He also addressed Hispanic voters, another large voting population that has been identified as a weak area for Romney.

"Hispanics in this country did, either through their ancestors or if they're first-generation themselves, did not come to America for a check," he said. "They came to America for an opportunity, for a good job and a bright future for their families."

He slammed Obama for high unemployment rates among women and Latinos and drew a distinction between

"I don't think anyone's saying we're going to cut off people's support. The safety net is still there, if it needs repair we're going to do it," Romney continued. "But the right course for the American people is not for the government to do more."