diff --git a/changelog.d/20250204_183545_roman_unknown_any.md b/changelog.d/20250204_183545_roman_unknown_any.md
new file mode 100644
index 000000000000..c7a51a7e48f3
--- /dev/null
+++ b/changelog.d/20250204_183545_roman_unknown_any.md
@@ -0,0 +1,5 @@
+### Changed
+
+- When invoking Nuclio functions, labels of type `any` can now be mapped to
+  labels of all types except `skeleton`
+  (<https://github.com/cvat-ai/cvat/pull/9050>)
diff --git a/cvat-ui/src/components/model-runner-modal/labels-mapper.tsx b/cvat-ui/src/components/model-runner-modal/labels-mapper.tsx
index 29098e158cb3..551dc3f08dfb 100644
--- a/cvat-ui/src/components/model-runner-modal/labels-mapper.tsx
+++ b/cvat-ui/src/components/model-runner-modal/labels-mapper.tsx
@@ -39,7 +39,7 @@ function labelsCompatible(modelLabel: LabelInterface, jobLabel: LabelInterface):
     const compatibleTypes = [[LabelType.MASK, LabelType.POLYGON]];
     return modelLabelType === jobLabelType ||
         (jobLabelType === 'any' && modelLabelType !== LabelType.SKELETON) ||
-        (modelLabelType === 'unknown' && jobLabelType !== LabelType.SKELETON) || // legacy support
+        ((modelLabelType === 'any' || modelLabelType === 'unknown') && jobLabelType !== LabelType.SKELETON) || // legacy support
         compatibleTypes.some((compatible) => compatible.includes(jobLabelType) && compatible.includes(modelLabelType));
 }
 
diff --git a/cvat/apps/lambda_manager/views.py b/cvat/apps/lambda_manager/views.py
index 6ea48a6ff564..9edb5889ae75 100644
--- a/cvat/apps/lambda_manager/views.py
+++ b/cvat/apps/lambda_manager/views.py
@@ -202,7 +202,7 @@ def parse_attributes(attrs_spec):
             for label in spec:
                 parsed_label = {
                     "name": label["name"],
-                    "type": label.get("type", "unknown"),
+                    "type": label.get("type", "any"),
                     "attributes": parse_attributes(label.get("attributes", [])),
                 }
                 if parsed_label["type"] == "skeleton":
@@ -312,7 +312,7 @@ def labels_compatible(model_label: dict, task_label: Label) -> bool:
             return (
                 model_type == db_type
                 or (db_type == "any" and model_type != "skeleton")
-                or (model_type == "unknown" and db_type != "skeleton")
+                or (model_type == "any" and db_type != "skeleton")
                 or any(
                     [
                         model_type in compatible and db_type in compatible