Members of the Syrian Democratic Forces (SDF) were eight kilometres from the jail near the country's largest dam at Tabqa on the Euphrates River, the Syrian Observatory for Human Rights said.
On December 10, the SDF announced "phase two" of its campaign against IS's de facto Syrian capital of Raqa some 50 kilometres east of Tabqa in the same province.
The alliance has since captured dozens of villages and hamlets, the Observatory says, after taking 700 square kilometres from the jihadists in a first phase of the assault from November 5.
The SDF is backed by air strikes from a US-led coalition as well as by some US forces on the ground.
Washington said this month it was sending 200 additional troops to join the 300 it has already deployed to support the Raqa campaign.
Despite recent setbacks, IS still controls areas of Syria and neighbouring Iraq, where it has faced an offensive since October on its main bastion of Mosul.
This month, IS seized the ancient city of Palmyra in central Syria for the second time, just eights months after President Bashar al-Assad's army backed by Russia drove the jihadists out.
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