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Deadly clashes raged on Monday between Yemeni government forces battling to secure an entrance to the besieged city of Taiz and Houthi rebels surrounding it, military sources said.

Backed by a Saudi-led Arab coalition, Yemeni troops launched an offensive last week to break the rebel siege on Yemen's flash-point third city, in the country's southwest.

The heaviest fighting Monday was near its western entrance where airstrikes by the Arab coalition and ground battles left 11 dead among Houthi rebels and their allies, loyalist military sources said.

An air raid killed two more rebels at the northern entrance to Taiz, which has been encircled for more than year, the sources said.

AFP could not confirm the toll from independent sources and the Iran-backed rebels rarely acknowledge their losses.

"The blockade of Taiz is almost broken after the retaking of Jabal al-Dhabab mountain" by loyalist forces, Colonel Abdulaziz al-Majidi, a spokesman of pro-government forces in the area, told AFP.

"The road is now open between the west of Taiz and southern provinces," he said, adding however that he was referring to a "rugged" route and not the main road.

The main road linking Taiz to the south is still under rebel control.

Southern provinces are held by loyalist forces, while the rebels control the capital Sanaa, as well as the north and much of western Yemen.

Tens of thousands of civilians are said to be caught in the fierce and protracted battle for Taiz.

Tens of thousands of civilians are said to be caught in the fierce and protracted battle for Taiz.

Despite the latest loyalist advances, mines planted by the rebels around the city are so far hampering the delivery of much-needed humanitarian aid to Taiz, according to military sources.

But dozens of residents have been using the sole open road, even before demining operations have been completed, to reach villages along the western outskirts, the sources added.

Yemen has been hit by unrest since the Huthi rebels and allied forces loyal to former president Ali Abdullah Saleh overran Sanaa in September 2014.

Violence escalated after the Saudi-led coalition launched a military campaign in March last year to shore up the government of President Abed-Rabbou Mansour Hadi.

The UN says more than 6,600 people, mostly civilians, have since been killed and more than 80 percent of the population left in need of humanitarian aid.

In Saudi Arabia, where rebel attacks on the kingdom's side of the border intensified this month, civil defence authorities said three foreign residents were wounded on Monday in shelling from Yemen on the city of Najran.

More than 100 civilians and soldiers have been killed in southern Saudi Arabia by retaliatory rocket strikes or skirmishes since the coalition operations began.