This study is looking at the safety of a medicine called CC-93538 for people with a condition called eosinophilic esophagitis (EoE). EoE is when a type of white blood cell builds up in the esophagus, causing inflammation. This study will help find out if the medicine is safe for long-term use. Only people who were part of earlier related studies (CC-93538-EE-001 or CC-93538-DDI-001) can join. Participants must have followed the rules of the earlier studies and should not have had any serious problems from the medicine.

Key Points:

• This is an open-label study, meaning all participants know they are receiving CC-93538.
• Participants cannot have certain other conditions or have taken certain other medicines recently.
• Females must not be pregnant and should use effective birth control during the study.