diff --git a/ddtrace/_trace/span.py b/ddtrace/_trace/span.py
index ea14e40a42a..caafc96bfbf 100644
--- a/ddtrace/_trace/span.py
+++ b/ddtrace/_trace/span.py
@@ -282,6 +282,12 @@ def finished(self, value: bool) -> None:
         If the span is already finished and a truthy value is provided
         no action will occur.
         """
+        deprecate(
+            prefix="The finished setter is deprecated",
+            message="""Use the finish() method to finish a span.""",
+            category=DDTraceDeprecationWarning,
+            removal_version="4.0.0",
+        )
         if value:
             if not self.finished:
                 self.duration_ns = Time.time_ns() - self.start_ns
@@ -820,7 +826,7 @@ def _set_link_or_append_pointer(self, link: Union[SpanLink, _SpanPointer]) -> No
         except ValueError:
             self._links.append(link)
 
-    def finish_with_ancestors(self) -> None:
+    def _finish_with_ancestors(self) -> None:
         """Finish this span along with all (accessible) ancestors of this span.
 
         This method is useful if a sudden program shutdown is required and finishing
@@ -831,6 +837,15 @@ def finish_with_ancestors(self) -> None:
             span.finish()
             span = span._parent
 
+    @removals.remove(removal_version="4.0.0")
+    def finish_with_ancestors(self) -> None:
+        """Finish this span along with all (accessible) ancestors of this span.
+
+        This method is useful if a sudden program shutdown is required and finishing
+        the trace is desired.
+        """
+        self._finish_with_ancestors()
+
     def __enter__(self) -> "Span":
         return self
 
diff --git a/ddtrace/contrib/internal/aws_lambda/patch.py b/ddtrace/contrib/internal/aws_lambda/patch.py
index a7aa0c0515b..1f2840de1f4 100644
--- a/ddtrace/contrib/internal/aws_lambda/patch.py
+++ b/ddtrace/contrib/internal/aws_lambda/patch.py
@@ -103,7 +103,7 @@ def _crash_flush(self, _, __):
 
         current_span = tracer.current_span()
         if current_span is not None:
-            current_span.finish_with_ancestors()
+            current_span._finish_with_ancestors()
 
     def _remove_alarm_signal(self):
         """Removes the handler set for the signal `SIGALRM`."""
diff --git a/releasenotes/notes/deprecate-span-finished-finish-with-ancestors-c75633a9baaa9463.yaml b/releasenotes/notes/deprecate-span-finished-finish-with-ancestors-c75633a9baaa9463.yaml
new file mode 100644
index 00000000000..091aa147317
--- /dev/null
+++ b/releasenotes/notes/deprecate-span-finished-finish-with-ancestors-c75633a9baaa9463.yaml
@@ -0,0 +1,6 @@
+---
+deprecations:
+  - |
+    tracing: ``Span.finished`` setter is deprecated, use ``Span.finish()`` method instead.
+  - |
+    tracing: ``Span.finished_with_ancestors()`` is deprecated with no alternative.