diff --git a/test/test_testing.py b/test/test_testing.py
index d24329c825ba..a69fb8ac9532 100644
--- a/test/test_testing.py
+++ b/test/test_testing.py
@@ -2369,6 +2369,7 @@ class TestImports(TestCase):
                            "torch.distributed.benchmarks",  # depends on RPC and DDP Optim
                            "torch.distributed.examples",  # requires CUDA and torchvision
                            "torch.distributed.tensor.examples",  # example scripts
+                           "torch.distributed._tools.sac_ilp",  # depends on pulp
                            "torch.csrc",  # files here are devtools, not part of torch
                            "torch.include",  # torch include files after install
                            ]
diff --git a/torch/_inductor/jagged_lowerings.py b/torch/_inductor/jagged_lowerings.py
index 5d4e17ed538a..83848c5a9612 100644
--- a/torch/_inductor/jagged_lowerings.py
+++ b/torch/_inductor/jagged_lowerings.py
@@ -6,7 +6,6 @@ import sympy
 import torch
 
 from .ir import Pointwise, ShapeAsConstantBuffer, TensorBox
-from .lowering import fallback_handler, is_integer_type, register_lowering
 from .virtualized import ops
 
 
@@ -109,6 +108,9 @@ def jagged_idx_to_dense_idx(
 
 
 def register_jagged_ops():
+    # Avoid circular import by importing here
+    from .lowering import fallback_handler, is_integer_type, register_lowering
+
     # pyre-ignore[56]
     @register_lowering(torch.ops.aten._jagged_to_padded_dense_forward.default)
     def _jagged_to_padded_dense_forward(
diff --git a/torch/_inductor/subgraph_lowering.py b/torch/_inductor/subgraph_lowering.py
index d79923857359..3c8116d402c9 100644
--- a/torch/_inductor/subgraph_lowering.py
+++ b/torch/_inductor/subgraph_lowering.py
@@ -13,6 +13,7 @@ from torch.utils._ordered_set import OrderedSet
 
 from . import ir
 from .exc import SubgraphLoweringException
+from .graph import GraphLowering
 from .ops_handler import SimpleCSEHandler
 from .virtualized import ops, V, WrapperHandler
 
@@ -32,7 +33,7 @@ class PointwiseSubgraphLowering(torch.fx.Interpreter):
     """
 
     graph_outputs: Optional[list[ir.IRNode]]
-    root_graph: torch._inductor.graph.GraphLowering
+    root_graph: GraphLowering
     _current_op: Optional[TargetType]
     # For backwards of buffer_grads with scatters we allow mutations
     allowed_mutations: Optional[OrderedSet[OpOverload]]
@@ -43,7 +44,7 @@ class PointwiseSubgraphLowering(torch.fx.Interpreter):
     def __init__(
         self,
         gm: torch.fx.GraphModule,
-        root_graph_lowering: torch._inductor.graph.GraphLowering,
+        root_graph_lowering: GraphLowering,
         allowed_mutations: Optional[OrderedSet[OpOverload]] = None,
         additional_lowerings: Optional[LoweringDict] = None,
     ) -> None: