Fighting was fiercest around Sirte's conference centre, which has become a command headquarters for IS at the heart of the city, a statement from forces loyal to the UN-backed Government of National Accord (GNA) said.
It said 20 fighters were killed and 105 wounded, updating an earlier toll of seven dead and 49 wounded.
Pro-GNA forces launched an operation in May to recapture Sirte, 450 kilometres east of Tripoli, after the jihadists overran the city in June last year.
The two-month battle for Sirte has killed around 250 pro-government fighters and wounded more than 1,400, according to medical sources at the unity forces' command centre.
The pro-GNA forces are mostly made up of militias from western Libya established during the 2011 revolt that overthrew dictator Moamer Kadhafi.
A militia set up to guard the country's main oil facilities has also been advancing on IS.
The GNA was the result of a UN-brokered power-sharing agreement struck in December, but it has yet to be endorsed by Libya's elected parliament based in the country's far east.
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