diff --git a/arrow/parser.py b/arrow/parser.py
index fc3774b0..96f0404c 100644
--- a/arrow/parser.py
+++ b/arrow/parser.py
@@ -166,7 +166,7 @@ class DateTimeParser:
     _TZ_NAME_RE: ClassVar[Pattern[str]] = re.compile(r"\w[\w+\-/]+")
     # NOTE: timestamps cannot be parsed from natural language strings (by removing the ^...$) because it will
     # break cases like "15 Jul 2000" and a format list (see issue #447)
-    _TIMESTAMP_RE: ClassVar[Pattern[str]] = re.compile(r"^\-?\d+\.?\d+$")
+    _TIMESTAMP_RE: ClassVar[Pattern[str]] = re.compile(r"^\-?\d+\.?\d*$")
     _TIMESTAMP_EXPANDED_RE: ClassVar[Pattern[str]] = re.compile(r"^\-?\d+$")
     _TIME_RE: ClassVar[Pattern[str]] = re.compile(
         r"^(\d{2})(?:\:?(\d{2}))?(?:\:?(\d{2}))?(?:([\.\,])(\d+))?$"