diff --git a/tests/v1/spec_decode/test_eagle.py b/tests/v1/spec_decode/test_eagle.py
index 690732eb1232..49311c0005e7 100644
--- a/tests/v1/spec_decode/test_eagle.py
+++ b/tests/v1/spec_decode/test_eagle.py
@@ -337,13 +337,19 @@ def test_load_model(mock_get_model, mock_get_layers, mock_get_pp_group, method,
         "target_attn_1": mock.MagicMock(),
         "target_attn_2": mock.MagicMock()
     }
+    target_indx_layers: dict[str, mock.MagicMock] = {}
     # Draft model has one extra attention layer compared to target model
     all_attn_layers = {
         **target_attn_layers, "draft_extra_attn": mock.MagicMock()
     }
 
+    all_indx_layers: dict[str, mock.MagicMock] = {}
+
     # Make mock_get_layers return different values for each call
-    mock_get_layers.side_effect = [target_attn_layers, all_attn_layers]
+    mock_get_layers.side_effect = [
+        target_attn_layers, target_indx_layers, all_attn_layers,
+        all_indx_layers
+    ]
 
     # Setup mock for pp group to return the appropriate value for world size
     mock_pp_group = mock.MagicMock()
@@ -658,6 +664,9 @@ def create_deterministic_logits(token_ids, k: int):
     # Mock runner for attention metadata building.
     proposer.runner = mock.MagicMock()
     proposer.runner.attn_groups.append([mock.MagicMock()])
+    proposer.runner.attn_groups[0][0].metadata_builders = [
+        attn_metadata_builder
+    ]
     proposer.runner.attn_groups[0][0].get_metadata_builder.return_value = \
         attn_metadata_builder
     proposer._get_attention_metadata_builder = mock.MagicMock(
diff --git a/tests/v1/spec_decode/test_mtp.py b/tests/v1/spec_decode/test_mtp.py
index e4881859ece1..5b9ccfc3f48b 100644
--- a/tests/v1/spec_decode/test_mtp.py
+++ b/tests/v1/spec_decode/test_mtp.py
@@ -63,7 +63,13 @@ def test_mtp_load_model_unified(mock_get_model, mock_get_layers,
 
     target_attn_layers = {"target_attn_1": mock.MagicMock()}
     all_attn_layers = {**target_attn_layers, "draft_attn_1": mock.MagicMock()}
-    mock_get_layers.side_effect = [target_attn_layers, all_attn_layers]
+    target_indexer_layers: dict = {}
+    all_indexer_layers: dict = {}
+
+    mock_get_layers.side_effect = [
+        target_attn_layers, target_indexer_layers, all_attn_layers,
+        all_indexer_layers
+    ]
 
     mock_pp_group = mock.MagicMock()
     mock_pp_group.world_size = 1
diff --git a/vllm/config/speculative.py b/vllm/config/speculative.py
index f684e4e4ccd4..d5c6d1d4d866 100644
--- a/vllm/config/speculative.py
+++ b/vllm/config/speculative.py
@@ -41,7 +41,8 @@
 @dataclass
 class SpeculativeConfig:
     """Configuration for speculative decoding."""
-
+    enforce_eager: Optional[bool] = None
+    """Override the default enforce_eager from model_config"""
     # General speculative decoding control
     num_speculative_tokens: SkipValidation[int] = None  # type: ignore
     """The number of speculative tokens, if provided. It will default to the
@@ -219,6 +220,11 @@ def __post_init__(self):
                 assert (
                     self.target_model_config
                     is not None), "target_model_config must be present for mtp"
+                if self.target_model_config.hf_text_config.model_type \
+                    == "deepseek_v32":
+                    # FIXME(luccafong): cudgraph with v32 MTP is not supported,
+                    # remove this when the issue is fixed.
+                    self.enforce_eager = True
                 # use the draft model from the same model:
                 self.model = self.target_model_config.model
                 # Align the quantization of draft model for cases such as
diff --git a/vllm/v1/attention/backends/mla/indexer.py b/vllm/v1/attention/backends/mla/indexer.py
index 4e6b974ad74d..e87b51b15191 100644
--- a/vllm/v1/attention/backends/mla/indexer.py
+++ b/vllm/v1/attention/backends/mla/indexer.py
@@ -171,7 +171,7 @@ def get_max_prefill_buffer_size(vllm_config: VllmConfig):
 
 class DeepseekV32IndexerMetadataBuilder(AttentionMetadataBuilder):
     cudagraph_support: ClassVar[AttentionCGSupport] = \
-        AttentionCGSupport.UNIFORM_BATCH
+        AttentionCGSupport.UNIFORM_SINGLE_TOKEN_DECODE
 
     reorder_batch_threshold: int = 1
 
diff --git a/vllm/v1/spec_decode/eagle.py b/vllm/v1/spec_decode/eagle.py
index bb11a543fd8b..dc6db0138806 100644
--- a/vllm/v1/spec_decode/eagle.py
+++ b/vllm/v1/spec_decode/eagle.py
@@ -50,6 +50,7 @@ def __init__(
     ):
         self.vllm_config = vllm_config
         self.speculative_config = vllm_config.speculative_config
+        assert self.speculative_config is not None
         self.draft_model_config = self.speculative_config.draft_model_config
         self.method = self.speculative_config.method
 
@@ -74,11 +75,16 @@ def __init__(
             vllm_config.model_config)
 
         self.attn_metadata_builder: Optional[AttentionMetadataBuilder] = None
+        self.draft_indexer_metadata_builder: Optional[
+            AttentionMetadataBuilder] = None
+        self.attn_layer_names: list[str] = []
+        self.indexer_layer_names: list[str] = []
 
         self.use_cuda_graph = (not current_platform.is_xpu()
                                and self.vllm_config.compilation_config.level
                                == CompilationLevel.PIECEWISE and
-                               not self.vllm_config.model_config.enforce_eager)
+                               not self.vllm_config.model_config.enforce_eager
+                               and not self.speculative_config.enforce_eager)
         self.cudagraph_batch_sizes = list(
             reversed(self.vllm_config.compilation_config.
                      cudagraph_capture_sizes)) if self.use_cuda_graph else []