There is no sign that Donald Trump's raucous first presidential debate is hurting his support among party voters, with the latest Reuters/Ipsos poll showing he still has a big lead over his rivals for the Republican presidential nomination.

Trump's staying power is defying predictions of political doom and leading some Republicans to explore ways to persuade him not to pursue a third-party bid should he falter in his quest for the Republican nomination in 2016.

Trump led the party's 17-strong 2016 presidential field with the backing of 24 percent of Republican voters, unchanged from before Thursday's televised debate, the Reuters/Ipsos poll found.