Mohamed Ali al-Houthi, a rebel leader, said in a speech Tuesday that "some sons" of Saleh have been hospitalized, without providing further details. The channel had earlier carried a broadcast in which the Houthi's leader, Abdul-Malek al-Houthi, said his forces had killed Saleh for "treason".
Yemenis in the war-torn country's capital crowded into basements overnight as Saudi-led fighter jets pounded the positions of Houthi rebels, who are now fighting forces loyal to a former president for control of the city.
Fierce clashes broke out in Sanaa last week between Saleh supporters and the Iran-backed Houthis as a fragile alliance between the two sides broke down.
A video provided to AFP by the rebels showed what appeared to be a dead Saleh with a severe head injury, his body wrapped in a floral-print blanket. The coalition has imposed a blockade on the country, with the aim of reinstating the internationally recognized government of Saleh's successor, Abed Rabbo Mansour Hadi.
ANALYSTS and commentators have rightly pointed out that killing of Ali Abdullah Saleh, the former Yemeni president, removes the country's most important political figure for four decades from a complex equation that has plunged the Arab world's poorest nation into conflict and sparked the world's worst humanitarian crisis.
Saleh's son, Ahmed, has reportedly been under house arrest in the United Arab Emirates, a key member of the coalition.
Saleh was killed Monday by his former Houthi allies after moving to switch allegiances in the bloody conflict.
At least 13 other journalists and media workers are now held hostage in Yemen by armed groups, including the Houthis and al-Qaeda.
Yemen's civil war has caused a desperate starvation in the country, as well as a cholera epidemic that has killed more than 2,000 people.
Without mentioning Saleh by name, he said that he knew about Saleh's communication with the coalition and his efforts to turn against the Houthis.
It also shatters hopes by Yemen's Saudi-backed government that Saleh's recent split with the Iranian-backed rebels, known as Houthis, would have weakened them and given the government and the Saudi coalition backing a chance for a turning point in the stalemated war that has brought humanitarian disaster.
However, in late November, the tensions between the former allies escalated and resulted in clashes that have already claimed lives of hundreds of people, including the ex-president himself.
"They obviously care about US support", Corker said.
The International Committee of the Red Cross said Monday that at least 125 people had been killed and some 240 wounded in Sanaa since the fighting began last week.