NEW YORK (CNN/Money) - Senate Majority Leader Bill Frist said a vote on Social Security reform might be delayed until next year, a newspaper reported Wednesday.

The Tennessee Republican, who has said he supports the creation of individual accounts, also cast some doubt as to whether those accounts -- a key feature of President Bush's proposal for reform -- would be included, the Washington Post reported.

"In terms of whether it will be a week, a month, six months or a year, as to when we bring something to the floor, it's just too early," Frist was quoted as saying on Tuesday.

The newspaper also noted that Frist indicated to reporters that President Bush's plan to add individual accounts to Social Security is in trouble. But, he said, "I wouldn't take that off the table yet."

His comments came amid continued opposition to the president's plan from Democrats and growing public skepticism about Social Security reform.

Indeed, Frist noted the opposition's influence on the timing of a Social Security vote, according to a Dow Jones report. "The opposition is very well-organized -- the opposition to the president, the opposition to the statement that we've got a problem (with Social Security) today," Frist said. "I don't want to take something to the Senate floor where I've got every one of the members across the aisle saying there's no problem.'"

A new CNN/USAToday/Gallup poll indicated that only 38 percent of Americans feel major changes must be made in Social Security within the next two years. That's down from 49 percent in January.

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On Thursday, Sen. Frist backed away from his comments, saying that changes to Social Security should happen this year. For more on this, click here.