Systems and methods to treat obstructive sleep apnea draw soft tissue of the front of the neck of the subject, in particular at or near the oropharynx, into a cavity by applying negative pressure. The opening of the cavity is formed by a rim of a body that is configured to be engaged, externally, with a medial portion of the anterior side of the neck such that engagement between the rim and the neck forms a chamber that can be sealed from atmospheric pressure. Movement of the soft tissue may thus reduce temporary airway obstruction.