diff --git a/certbot/CHANGELOG.md b/certbot/CHANGELOG.md
index 8c5f65e50..018eaa049 100644
--- a/certbot/CHANGELOG.md
+++ b/certbot/CHANGELOG.md
@@ -10,7 +10,7 @@ Certbot adheres to [Semantic Versioning](https://semver.org/).
 
 ### Changed
 
-*
+* If Certbot exits before setting up its usual log files, the temporary directory created to save logging information will begin with the name `certbot-log-` rather than a generic name. This should not be considered a [stable aspect of Certbot](https://certbot.eff.org/docs/compatibility.html) and may change again in the future.
 
 ### Fixed
 
diff --git a/certbot/certbot/_internal/log.py b/certbot/certbot/_internal/log.py
index 6d089afd4..b6b7d4601 100644
--- a/certbot/certbot/_internal/log.py
+++ b/certbot/certbot/_internal/log.py
@@ -264,7 +264,7 @@ class TempHandler(logging.StreamHandler):
 
     """
     def __init__(self) -> None:
-        self._workdir = tempfile.mkdtemp()
+        self._workdir = tempfile.mkdtemp(prefix="certbot-log-")
         self.path = os.path.join(self._workdir, 'log')
         stream = util.safe_open(self.path, mode='w', chmod=0o600)
         super().__init__(stream)