Poll: Biden, Trump don't have their parties' full support for 2024

Details: When asked who Democrats should nominate in 2024, only 45% of Democratic and Democratic-leaning independents chose Biden, while 51% said they'd like to see a different candidate. Five percent said they had "no opinion."

• On the other hand, 50% of Republican and Republican-leaning independents said they'd like to see the GOP nominate Trump again, while 49% said they would prefer a different candidate, and 1% said they didn't have an opinion.

Zoom in: Of the Democratic-aligned voters who said they would like to see Biden replaced, 31% said it was because they didn't want to see Biden re-elected, while 35% said they didn't think he could win against Republicans.

• Among Republican-aligned voters who said they didn't want to see Trump on the 2024 ticket, 39% said they "don't want" Trump to be president, while 22% felt he wouldn't win against Democrats.

But, but, but: Only 12% of all Democratic-aligned voters polled said they didn't want to see Biden be the nominee and had a specific candidate in mind as an alternative.

• Only 19% of all Republican-aligned voters polled had a specific candidate they wanted to see nominated, while 29% said "just someone besides Trump."

Methodology: This CNN poll was conducted for CNN by SSRS, from Jan. 10-Feb. 6. A representative sample of 1,527 respondents aged 18 and older was used. The margin of sampling error for total respondents is +/- 3.3 at the 95% confidence level.