The Nimitz has been patrolling Gulf waters since late November, but American media said this week that the acting US defense secretary, Christopher C. Miller, had ordered the vessel to return home.

The New York Times, quoting US officials, said this move was part of a "de-escalatory" signal to Tehran to avoid a conflict in President Donald Trump's last days in office.

However, Miller issued a statement to the contrary late Sunday.

"Due to the recent threats issued by Iranian leaders against President Trump and other U.S. government officials, I have ordered the USS Nimitz to halt its routine redeployment," he said.

"The USS Nimitz will now remain on station in the U.S. Central Command area of operations. No one should doubt the resolve of the United States of America."

His statement came one year after a US drone strike in Baghdad killed Iran's revered commander Qasem Soleimani and his Iraqi lieutenant Abu Mahdi al-Muhandis.

Thousands of Iraqi mourners chanted "revenge" and "no to America" on Sunday.

The anniversary of the Baghdad drone strike was also marked in recent days across Iran and by supporters in Syria, Lebanon, Yemen and elsewhere.

Trump unilaterally withdrew the US from a landmark nuclear deal with Iran and world powers in 2018 and launched a "maximum pressure" campaign against Tehran, reimposing and reinforcing crippling sanctions.

The two countries have twice come to the brink of war since June 2019, especially following the killing of Soleimani.

Days after the Soleimani assassination, Iran launched a volley of missiles at Iraqi bases housing US and other coalition troops, with Trump refraining from any further military response.