Embolic material delivery devices and methods of using them are disclosed. An example embolic material delivery assembly includes an outer member having a lumen extending therein and a distal end region, an inner member disposed within the lumen of the outer member, wherein the inner member includes a first lumen extending therein. The embolic material delivery assembly also includes a first embolic material extending within the first lumen of the inner member, the embolic material having a first distal end region. The embolic material delivery assembly also includes an anchor disposed within the lumen of the outer member, the anchor having a first attachment region. Further, the first distal end region of the first embolic material is coupled to the first attachment region of the anchor.