Carter's unannounced visit -- his fourth to Iraq since beginning his job in February 2015 -- comes two days after Iraqi forces captured an airbase to the south of Mosul that is seen as an important step toward the eventual battle for the country's second city, which has been under IS control since June 2014.
More than two years after IS overran large parts of Iraq as well as territory in neighboring Syria, Carter wants to highlight successes, even as the jihadists have fought back with devastating attacks in Iraq and abroad.
The ultimate goal, he added, was "the recapture of all of Iraqi territory by the Iraqi security forces, but of course Mosul is the biggest part of that."
The Qayyarah airbase, which Abadi announced Saturday had been recaptured, is located 60 kilometres (35 miles) south of Mosul and can serve as a launchpad for future operations to recapture the city.
US defence officials say the campaign's first "10 plays" have been successfully completed in the US-led counter-IS campaign in Iraq and Syria.
Carter and President Barack Obama have been criticised for the pace of the campaign, which began in autumn 2014 and got off to a slow start, particularly in war-torn Syria, where the United States had few assets on the ground to provide targeting information.
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