Abu Bakr al-Baghdadi made his first public appearance in Mosul
Abu Bakr al-Baghdadi made his first public appearance in MosulYouTube screenshot

The US and UK governments will reportedly send in a team of elite undercover commandos to Iraq to find and kill Islamic State leaders, including the militant group's elusive chief Abu Bakr al-Baghdadi.

The elite British and US special forces team, called Task Force Black, will be on a 'hunt and kill' mission, whose sole objective will be to "Smash the Islamic State," according to the Mirror.

Task Force Black will work undercover to "cut the head off the snake" and has been tasked to eliminate key leaders of Islamic State, such as al-Baghdadi.

The report stated that move was given clearance after UK Prime Minister David Cameron urged SAS (Special Air Service) and UK spy agencies to direct all resources towards defeating Islamic State.

The British special forces will work with America's Delta Force and Seal Team 6.

Task Force Black was earlier used in missions against al-Qaeda in Iraq and had proved a deadly force against the foot soldiers of Osama bin Laden.

Task Force Black, which has now been reborn, will target the world's most wanted terrorists like al-Baghdadi, the leader of ISIS, and the other leaders of the organisation, the report noted.

"We need to go into Syria and Iraq and kill as many IS members as we can. You can't ­negotiate with these people," an unnamed source, who revealed the information, told the daily.

"This is not a war of choice. They are cash rich and have a plentiful ­supply of arms. If we don't go after them, they will soon come after us," the source added.

CIA reportedly will be overlooking the undercover operations.

According to an Al Arabiya report, al-Baghdadi has surrounded himself with several key leaders and strategists, who take care of every aspect of the group, from funding to bombings.

After al-Baghdadi, it is Abu Ayman al-Iraqi who is a chief figure in Islamic State. al-Iraqi  is a member of the organisation's military council.

There are other leaders, such as Abu Ahmad al-Alwani and Abu Abdulrahman al-Bilawi, as well who ensure that both cash and weapons supply is maintained.

The report of the deployment of special ops unit in Iraq comes at a time when Iraq's Prime Minister-designate Haider al-Abadi emphasised that international efforts are necessary to stop the Islamic State militants, who have taken control of over large areas in his country and Syria.