Saleh, who is under pressure from tens of thousands of Yemenis gathered in the streets demanding his departure after 32 years in power, is expected to attend and update senior party members on his talks with the opposition.
Late on Saturday, Saleh said he was prepared to step down within hours.
But a deal did not appear imminent since the opposition had hardened their demands.
"I could leave power even in a few hours, on condition of maintaining respect and prestige," Saleh said in a televised interview.
"I have to take the country to safe shores I'm holding on to power in order to hand it over peaceably."
Yet Saleh also appeared to warn against any sudden transition by saying Yemen could slide into a civil war and fragment along regional and tribal lines "Yemen is a time bomb and if we and our friendly countries don't have a return to dialogue, there will be a destructive civil war," he said.
Saleh has been an ally of the United States and Saudi Arabia by keeping at bay a Yemen based resurgent wing of Al Qaeda in a country that is close to collapse, with rebels in the north, secessionists in the south and grinding poverty everywhere.
More than 80 people have been killed since protests started in January, inspired by popular revolts in Tunisia and Egypt, to demand the departure of Saleh, a serial political survivor of civil war as well as separatist, rebel and militant attacks.
On Sunday, Al Arabiya television said six soldiers were killed in an ambush by Al Qaeda militants in the south of the country.
Opposition parties have been talking with Saleh about a transition but have so far rebuffed any of his concessions.
"We still have a very big gap," said Yassin Noman, the rotating head of Yemen's opposition coalition.
"I think he is manoeuvring."
Western countries are concerned that Yemen-based al Qaeda in the Arabian Peninsula (AQAP) could take advantage of any power vacuum arising from a rocky transition if Saleh steps down.