diff --git a/Lib/tomllib/_re.py b/Lib/tomllib/_re.py
index 994bb7493fd928..9eacefc729544e 100644
--- a/Lib/tomllib/_re.py
+++ b/Lib/tomllib/_re.py
@@ -84,6 +84,9 @@ def match_to_datetime(match: re.Match) -> datetime | date:
return datetime(year, month, day, hour, minute, sec, micros, tzinfo=tz)
+# No need to limit cache size. This is only ever called on input
+# that matched RE_DATETIME, so there is an implicit bound of
+# 24 (hours) * 60 (minutes) * 2 (offset direction) = 2880.
@lru_cache(maxsize=None)
def cached_tz(hour_str: str, minute_str: str, sign_str: str) -> timezone:
sign = 1 if sign_str == "+" else -1
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