Story highlights Iraqi security forces storm a neighborhood of Falluja

They have already recaptured the key small town of Saqlawiya

Syrian forces enter Raqqa province for the first time since 2014

(CNN) Iraqi security forces rapidly closed in on key ISIS-held territories on Saturday with advances to regain control of militant controlled towns, military officials say.

Meanwhile, Syrian forces made progress against the militant group in the region surrounding the province of Raqqa in the first push into the area since 2014.

Iraqi security forces, with the support of other militia, stormed the first neighborhood in southern Falluja on Saturday after recapturing the district of al Nuaimiya -- 5 kilometers (3.1 miles) from central Falluja.

Separately, Iraqi security forces recaptured the key small town of Saqlawiya, 10 kilometers (6.2 miles) northwest of Falluja, on Saturday. Troops there "raised the national flag over the town's main buildings," Iraq's Joint Operation Command said.