Russian forces have expanded their zone of control northwest of Konstantinovka toward Druzhkovka, according to the country's top military official.
Troops have also entered the nearby settlement of Alekseyevo-Druzhkovka, the chief of the general staff stated on Saturday.
Moscow claims Ukrainian defenses in Krasny Liman, northeast of Slavyansk, have been broken.
Russian forces are now working to eliminate remaining pockets of resistance in the area.