The present invention is for wipe dispensers for dispensing interconnected wipes. An exemplary wipes dispenser may include a container body and a removable lid forming an interior region into which a plurality of interconnected wipes may be disposed. Pulling on a lead end of a lead wipe causes a following wipe to also be pulled and follow the lead wipe. The removable lid may cover a portion of a container aperture (e.g., an open top of the container body). A landing member in the lid covers a portion of the container aperture by extending from a top rim of the container body toward the middle of the interior region. The landing member may form an angle with a substantially vertical exterior wall of the container, where the formed angle may be less than 90°. In an embodiment, the landing member may include a concavely shaped portion. The landing member may include one or more fingers.