diff --git a/docs/core/metrics.md b/docs/core/metrics.md
index 31b4ea99ce7..19a34cf21ad 100644
--- a/docs/core/metrics.md
+++ b/docs/core/metrics.md
@@ -165,7 +165,7 @@ If you want to ensure at least one metric is always emitted, you can pass `raise
 ```
 
 ???+ tip "Suppressing warning messages on empty metrics"
-    If you expect your function to execute without publishing metrics every time, you can suppress the warning with **`warnings.filterwarnings("ignore", "No metrics to publish*")`**.
+    If you expect your function to execute without publishing metrics every time, you can suppress the warning with **`warnings.filterwarnings("ignore", "No application metrics to publish*")`**.
 
 ### Capturing cold start metric
 
diff --git a/docs/core/metrics/datadog.md b/docs/core/metrics/datadog.md
index eb036fd3270..ecbdf93f7f8 100644
--- a/docs/core/metrics/datadog.md
+++ b/docs/core/metrics/datadog.md
@@ -142,7 +142,7 @@ Use `raise_on_empty_metrics=True` if you want to ensure at least one metric is a
 ```
 
 ???+ tip "Suppressing warning messages on empty metrics"
-    If you expect your function to execute without publishing metrics every time, you can suppress the warning with **`warnings.filterwarnings("ignore", "No metrics to publish*")`**.
+    If you expect your function to execute without publishing metrics every time, you can suppress the warning with **`warnings.filterwarnings("ignore", "No application metrics to publish*")`**.
 
 ### Capturing cold start metric