NEAR MOSUL, Iraq, Dec 29 (Reuters) - Iraqi security forces on Thursday began the second phase of their offensive against Islamic State militants in Mosul, pushing from three directions into eastern districts where the battle has been deadlocked for nearly a month.

Since the offensive to capture Mosul began 10 weeks ago, counter-terrorism forces have retaken a quarter of the city, the jihadists’ last major stronghold in Iraq, but their advance has been slow and troops on other fronts have made little progress.

The campaign, the biggest ground operation in Iraq since the U.S.-led invasion of 2003 that toppled Saddam Hussein, entered its first significant pause earlier this month for a planned “operational refit.”

But on Thursday, more than 5,000 soldiers and militarized federal police troops who had redeployed from Mosul’s southern outskirts entered half a dozen southeastern neighborhoods, while counter-terrorism forces advanced in al-Quds and Karama districts after receiving reinforcements.

Army forces pushed simultaneously towards the northern city limits. U.S. military advisers were seen watching operations.

“At 0700 this morning the three fronts began advancing towards the city center. The operation is ongoing today and tomorrow and until we liberate the eastern side of the city completely,” Lieutenant General Ali Freiji, who was overseeing army operations in the north, told Reuters.

The fall of Mosul would probably spell the end for Islamic State’s ambition to rule over millions of people in a self-styled caliphate, but fighters could still mount a traditional insurgency in Iraq, and plot or inspire attacks on the West.

An officer from an elite Interior Ministry unit said on Thursday it was advancing alongside federal police in Mosul’s Intisar district. Islamic State resisted with sniper and machine gun fire, he said.

A plume of white smoke, likely to be from an air strike, rose from a southeastern district on Thursday morning while at the northern front heavy gunfire was audible and a suicide car bomb was disabled by the Iraqi army before reaching its target.

State TV said Islamic State defenses were collapsing in the areas of Salam, Intisar, Wahda, Palestine and al-Quds and that fighters’ bodies filled the streets there.

The government’s accounts are difficult to confirm since the authorities have increasingly restricted the foreign news media’s access to the battle fronts and areas retaken from Islamic State in and around Mosul without providing a reason.

The military has not entered the city’s western side, whose built-up markets and narrow alleyways dating back more than two millennia will likely complicate advances.

AHMAD AL-RUBAYE via Getty Images Iraqi pro-government forces patrol the eastern part of the embattled Iraqi city of Mosul on December 28, 2016.

DEEPER U.S. ENGAGEMENT

The battle for Mosul involves 100,000 Iraqi troops, members of the Kurdish security forces and Shi’ite militiamen.

U.S. commanders have said in recent weeks that their military advisers, part of an international coalition fighting Islamic State, will embed more extensively with Iraqi forces.

Some of them were spotted on a rooftop behind the front lines on Thursday, advising Iraqi commanders and watching over the operations.

An army colonel said Iraqi forces had suffered few casualties so far.

“The orders from the senior commanders are clear: no halting, no retreat until we reach the fourth bridge and link up with counter-terrorism units,” he said.

The coalition bombed the last remaining bridge connecting the eastern and western parts of Mosul late on Monday in a bid to block Islamic State from redeploying and resupplying its fighters across the Tigris River.

“The enemy is currently isolated inside the left (eastern) bank of Mosul,” Yahia Rassol, a military spokesman, said on state TV. “In the coming days, Iraqi forces will liberate the entire left bank of Mosul and after that we will tackle the right.”

The United Nations has previously expressed concern that the destruction of Mosul’s bridges could obstruct the evacuation of civilians. Up to 1.5 million are thought to remain inside.

Three residents emerged from a northern village on Thursday, including an old man who sat down in the road and wept. He said his wife had been shot dead by Islamic State when she went to collect water a day earlier. Iraqi forces searched the civilians and let them continue to a nearby village.

Mosul, the largest city held by Islamic State anywhere across its once vast territorial holdings in Iraq and neighboring Syria, has been held by the group since its fighters drove the U.S.-trained Iraqi army out in June 2014.

Iraqi Prime Minister Haider al-Abadi, who previously pledged to retake Mosul by the end of the year, said this week it would take another three months to rout Islamic State in Iraq.

The operation has been slowed by concern to avoid casualties among civilians, who despite food and water shortages have mostly stayed in their homes rather than fleeing as was initially expected. More than 114,00 have been displaced so far, according to the United Nations.