diff --git a/test/dynamo/test_error_messages.py b/test/dynamo/test_error_messages.py
index 26e8176473e..172ced2a58a 100644
--- a/test/dynamo/test_error_messages.py
+++ b/test/dynamo/test_error_messages.py
@@ -48,27 +48,6 @@ class GenericCtxMgr:
 
 
 class ErrorMessagesTest(LoggingTestCase):
-    def test_dynamic_shape_operator(self):
-        def fn():
-            return torch.nonzero(torch.rand([10, 10]))
-
-        self.assertExpectedInlineMunged(
-            Unsupported,
-            lambda: torch.compile(fn, backend="eager", fullgraph=True)(),
-            """\
-Dynamic shape operator
-  Explanation: Operator `aten.nonzero.default`'s output shape depends on input Tensor data.
-  Hint: Enable tracing of dynamic shape operators with `torch._dynamo.config.capture_dynamic_output_shape_ops = True`
-
-  Developer debug context: aten.nonzero.default
-
- For more details about this graph break, please visit: https://meta-pytorch.github.io/compile-graph-break-site/gb/gb0036.html
-
-from user code:
-   File "test_error_messages.py", line N, in fn
-    return torch.nonzero(torch.rand([10, 10]))""",
-        )
-
     def test_dynamic_shape_operator_no_meta_kernel(self):
         def fn():
             return torch.linalg.lstsq(torch.rand(10, 10), torch.rand(10, 10))
diff --git a/test/dynamo/test_misc.py b/test/dynamo/test_misc.py
index dac76803798..648848420a1 100644
--- a/test/dynamo/test_misc.py
+++ b/test/dynamo/test_misc.py
@@ -13362,6 +13362,18 @@ class MiscTestsDevice(torch._inductor.test_case.TestCase):
         # We expect to no longer raise here
         foo(torch.tensor(2.0))
 
+    def test_full_graph_capture_dynamic_output_shape_ops(self):
+        def fn(x):
+            nz = torch.nonzero(x)
+            squared = nz * nz
+            sliced = torch.ops.aten.slice.Tensor(squared, dim=1, start=-2, end=None)
+            view = sliced.unsqueeze(dim=0)
+            return view.squeeze(dim=0)
+
+        example_inputs = (torch.randn(1, 1, 1, 1),)
+        # we expect to no longer raise here
+        torch.compile(fn, fullgraph=True)(*example_inputs)
+
     def test_dynamic_float_scalar_tensor_coersion(self):
         # Minified version of https://github.com/pytorch/pytorch/issues/158376#issuecomment-3079591367
         class Foo:
diff --git a/torch/__init__.py b/torch/__init__.py
index dee45cfe422..08dee062435 100644
--- a/torch/__init__.py
+++ b/torch/__init__.py
@@ -2507,7 +2507,8 @@ def compile(
        fullgraph (bool): If False (default), torch.compile attempts to discover compilable regions
         in the function that it will optimize. If True, then we require that the entire function be
         capturable into a single graph. If this is not possible (that is, if there are graph breaks),
-        then this will raise an error.
+        then this will raise an error. This also opts into unbacked semantics, notably it will turn on
+        capture_scalar_outputs and capture_dynamic_output_shape_ops on by default.
        dynamic (bool or None): Use dynamic shape tracing.  When this is True, we will up-front attempt
         to generate a kernel that is as dynamic as possible to avoid recompilations when
         sizes change.  This may not always work as some operations/optimizations will
diff --git a/torch/_dynamo/output_graph.py b/torch/_dynamo/output_graph.py
index 12b88c0d6b1..8a162942fe7 100644
--- a/torch/_dynamo/output_graph.py
+++ b/torch/_dynamo/output_graph.py
@@ -488,9 +488,10 @@ class OutputGraph(OutputGraphGuardsState):
             # TrackedFake instances may have its metadata changed throughout
             # the program execution.
             tracked_fakes=self.tracked_fakes,
-            # We want to allow scalar outputs when fullgraph=True
+            # We want to allow capture scalar outputs and allow_dynamic_output_shape_ops when fullgraph=True
             allow_scalar_outputs=one_graph or config.capture_scalar_outputs,
-            allow_dynamic_output_shape_ops=config.capture_dynamic_output_shape_ops,
+            allow_dynamic_output_shape_ops=one_graph
+            or config.capture_dynamic_output_shape_ops,
             prefer_deferred_runtime_asserts_over_guards=config.prefer_deferred_runtime_asserts_over_guards,
             co_fields=self.co_fields,
         )