diff --git a/MIGRATION_GUIDE.md b/MIGRATION_GUIDE.md
index 373881daac..177868ee65 100644
--- a/MIGRATION_GUIDE.md
+++ b/MIGRATION_GUIDE.md
@@ -23,6 +23,7 @@ Looking to upgrade from Sentry SDK 2.x to 3.x? Here's a comprehensive list of wh
 
 - The UnraisableHookIntegration is now enabled by default.
 - We now don't suppress chained exceptions in the ASGI and asyncio integrations by default. The related `suppress_asgi_chained_exceptions` experimental option was removed.
+- In the AWS Lambda and GCP integrations, the message of the warning the SDK optionally emits if a function is about to time out has changed.
 
 ## Removed
 
diff --git a/sentry_sdk/utils.py b/sentry_sdk/utils.py
index bc1017b7b6..5974266826 100644
--- a/sentry_sdk/utils.py
+++ b/sentry_sdk/utils.py
@@ -1427,30 +1427,18 @@ def run(self) -> None:
         if self._stop_event.is_set():
             return
 
-        integer_configured_timeout = int(self.configured_timeout)
-
-        # Setting up the exact integer value of configured time(in seconds)
-        if integer_configured_timeout < self.configured_timeout:
-            integer_configured_timeout = integer_configured_timeout + 1
-
         # Raising Exception after timeout duration is reached
         if self.isolation_scope is not None and self.current_scope is not None:
             with sentry_sdk.scope.use_isolation_scope(self.isolation_scope):
                 with sentry_sdk.scope.use_scope(self.current_scope):
                     try:
                         raise ServerlessTimeoutWarning(
-                            "WARNING : Function is expected to get timed out. Configured timeout duration = {} seconds.".format(
-                                integer_configured_timeout
-                            )
+                            "WARNING: Function is about to time out."
                         )
                     except Exception:
                         reraise(*self._capture_exception())
 
-        raise ServerlessTimeoutWarning(
-            "WARNING : Function is expected to get timed out. Configured timeout duration = {} seconds.".format(
-                integer_configured_timeout
-            )
-        )
+        raise ServerlessTimeoutWarning("WARNING: Function is about to time out.")
 
 
 def to_base64(original: str) -> "Optional[str]":
diff --git a/tests/integrations/aws_lambda/test_aws_lambda.py b/tests/integrations/aws_lambda/test_aws_lambda.py
index 02be52e69e..feda53551c 100644
--- a/tests/integrations/aws_lambda/test_aws_lambda.py
+++ b/tests/integrations/aws_lambda/test_aws_lambda.py
@@ -218,9 +218,7 @@ def test_timeout_error_scope_modified(lambda_client, test_environment):
     (exception,) = error_event["exception"]["values"]
     assert not exception["mechanism"]["handled"]
     assert exception["type"] == "ServerlessTimeoutWarning"
-    assert exception["value"].startswith(
-        "WARNING : Function is expected to get timed out. Configured timeout duration ="
-    )
+    assert exception["value"] == "WARNING: Function is about to time out."
     assert exception["mechanism"]["type"] == "threading"
 
     assert error_event["tags"]["custom_tag"] == "custom_value"
diff --git a/tests/integrations/gcp/test_gcp.py b/tests/integrations/gcp/test_gcp.py
index b02518a413..d18ed02be1 100644
--- a/tests/integrations/gcp/test_gcp.py
+++ b/tests/integrations/gcp/test_gcp.py
@@ -231,10 +231,7 @@ def cloud_function(functionhandler, event):
     (exception,) = envelope_items[0]["exception"]["values"]
 
     assert exception["type"] == "ServerlessTimeoutWarning"
-    assert (
-        exception["value"]
-        == "WARNING : Function is expected to get timed out. Configured timeout duration = 3 seconds."
-    )
+    assert exception["value"] == "WARNING: Function is about to time out."
     assert exception["mechanism"]["type"] == "threading"
     assert not exception["mechanism"]["handled"]