Anti-IS fighters known as the Syrian Democratic Forces, a US-backed alliance of Kurds and Arabs, this week launched an offensive to capture Manbij.
The town is on the north-south axis between Jarablus, on the border with Turkey and controlled by IS fighters, and Raqa, the Islamic State group's self-proclaimed capital in Syria.
Its capture has long been seen as key in stemming the flow of foreign fighters into and out of Syria.
"There are people there, and I can't go into any details, who aspire to inspiring or even directing plots outside of Syria," Carter said at a news conference in Singapore, where he is attending a regional security summit.
Carter is in Singapore until Sunday for the Shangri-La Dialogue, a meeting of Asian security chiefs to discuss regional security.
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