The Obama campaign apparently has taken down a web video that featured an actress touting the fact the incumbent president wouldn't "have to worry" about re-election in a second term.

The video on the Obama campaign site was first reported on Tuesday by a Daily Caller article. The video was subsequently unavailable on the site.

It follows an incident last week in which President Obama was overheard telling Russian President Dmitry Medvedev that he'd have "more flexibility" on missile defense and other issues after the election.

In the web video that was taken down, actress Tatyana Ali talked casually about the implications of the president's re-election.

"What really makes me excited about that is that a United States president only has two terms," she said. "In the second term, it's on" -- because they wouldn't have to worry about re-election.

The president and his aides have downplayed such remarks -- chastising those, like Mitt Romney, who took issue with his comment to Medvedev. Obama even joked about the hot-mic moment Tuesday during a budget speech in Washington, D.C.

Noting that he could see the microphone, Obama said: "Feel free to transmit any of this to Vladimir if you see him."

Medvedev was overheard last week telling Obama he would "transmit this information to Vladimir" after Obama noted he'd have "flexibility" after the election.

The hot-mic moment wasn't the first time Obama has signaled a change in policies after the election.

A Palestinian official claimed last month that U.S. officials had told them they'd push hard for Palestinian statehood if the president is re-elected. The State Department denied the claim.

Also last month, Obama said he hopes the November election sends a "strong message" that Washington should pass comprehensive immigration reform.

Obama has said as well he is "evolving" on the issue of gay marriage, which he is publicly opposed to.

As for the campaign video, National Tea Party Federation spokesman David Webb called it "smart politics." But he said it's clear what the "ideologue" incumbent is looking to do in a second term.

"Look at President Obama's record from state senator all the way through the president," he said.

If Obama is re-elected and continues to face a GOP-controlled House, Webb said, "He is going to do everything he can to throw everything against the wall and get it to stick."

Democratic strategist and Fox News contributor Jehmu Greene suggested the video was just stating the obvious.

"It is on. It's on like Donkey Kong," she said -- referring to the upcoming general election campaign.