diff --git a/src/hera/shared/_type_util.py b/src/hera/shared/_type_util.py
index cfb9c51e..f1c27f40 100644
--- a/src/hera/shared/_type_util.py
+++ b/src/hera/shared/_type_util.py
@@ -83,11 +83,16 @@ def get_workflow_annotation(annotation: Any) -> Optional[Union[Artifact, Paramet
     return metadata[0]
 
 
-def add_metadata_from_type(parameter: Parameter, annotation: Any) -> None:
-    if not parameter.enum:
-        type_ = unwrap_annotation(annotation)
-        if get_origin(type_) is Literal:
-            parameter.enum = list(get_args(type_))
+def set_enum_based_on_type(parameter: Parameter, annotation: Any) -> None:
+    """Sets the enum field of a Parameter based on its type annotation.
+
+    Currently, only supports Literals.
+    """
+    if parameter.enum:
+        return
+    type_ = unwrap_annotation(annotation)
+    if get_origin(type_) is Literal:
+        parameter.enum = list(get_args(type_))
 
 
 def construct_io_from_annotation(python_name: str, annotation: Any) -> Union[Parameter, Artifact]:
@@ -107,7 +112,7 @@ def construct_io_from_annotation(python_name: str, annotation: Any) -> Union[Par
 
     io.name = io.name or python_name
     if isinstance(io, Parameter):
-        add_metadata_from_type(io, annotation)
+        set_enum_based_on_type(io, annotation)
 
     return io
 
diff --git a/src/hera/workflows/script.py b/src/hera/workflows/script.py
index 0974e488..2065c438 100644
--- a/src/hera/workflows/script.py
+++ b/src/hera/workflows/script.py
@@ -48,11 +48,11 @@
 )
 from hera.shared._pydantic import _PYDANTIC_VERSION, root_validator, validator
 from hera.shared._type_util import (
-    add_metadata_from_type,
     construct_io_from_annotation,
     get_workflow_annotation,
     is_subscripted,
     origin_type_issupertype,
+    set_enum_based_on_type,
 )
 from hera.shared.serialization import serialize
 from hera.workflows._context import _context
@@ -380,7 +380,7 @@ def _get_parameters_from_callable(source: Callable) -> List[Parameter]:
             default = MISSING
 
         param = Parameter(name=p.name, default=default)
-        add_metadata_from_type(param, p.annotation)
+        set_enum_based_on_type(param, p.annotation)
         parameters.append(param)
 
     return parameters