Tampa, Florida (CNN) — As the formal nomination of Mitt Romney gets underway at the Republican convention, a new survey indicates that a minority in the GOP would like to see someone else as their party's presidential nominee.

According to a CNN/ORC International poll released Tuesday as the roll call at the convention was about to begin, nearly seven in ten Republicans say that the former Massachusetts governor should be the Republican nominee, with three in ten saying they would rather see their party choose someone else at the top of the ticket.

"Historically, that figure is not bad. In mid-August, 2008, more than four in ten Republicans said they would prefer someone other than John McCain as the Republican nominee. Thirty-seven percent of Democrats said in August, 2008, that they would prefer Hillary Clinton as their party's nominee," says CNN Polling Director Keating Holland.

Four years later, only 17% of Democrats say they would prefer someone other than President Barack Obama as their party's standard-bearer.

The CNN poll was conducted August 22-23 by ORC International, with 473 registered voters who describe themselves as Republicans or independents who lean Republican, and 404 registered voters who describe themselves as Democrats or independents who lean Democratic, questioned by telephone. The survey's sampling error is plus or minus five percentage points.

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CNN Political Editor Paul Steinhauser contributed to this story.

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