diff --git a/vllm/distributed/kv_transfer/kv_connector/v1/base.py b/vllm/distributed/kv_transfer/kv_connector/v1/base.py
index ef143cba7fb5..686f3ad8ebac 100644
--- a/vllm/distributed/kv_transfer/kv_connector/v1/base.py
+++ b/vllm/distributed/kv_transfer/kv_connector/v1/base.py
@@ -43,6 +43,7 @@
 import enum
 from abc import ABC, abstractmethod
 from collections.abc import Callable, Iterable
+from dataclasses import dataclass
 from typing import TYPE_CHECKING, Any, Literal
 
 import torch
@@ -62,7 +63,7 @@
         PromMetricT,
     )
     from vllm.forward_context import ForwardContext
-    from vllm.v1.core.kv_cache_manager import KVCacheBlocks
+    from vllm.v1.core.kv_cache_manager import KVCacheBlocks, KVCacheManager
     from vllm.v1.kv_cache_interface import KVCacheConfig
     from vllm.v1.request import Request
 
@@ -146,6 +147,17 @@ class KVConnectorMetadata(ABC):  # noqa: B024
     pass
 
 
+@dataclass(frozen=True)
+class SchedulerState:
+    """
+    State of the scheduler that the connector can access, scheduler-side.
+    This dataclass ensures read-only access to scheduler state, while enabling
+    expansion of the scheduler state in the future.
+    """
+
+    kv_cache_manager: "KVCacheManager"
+
+
 class KVConnectorWorkerMetadata(ABC):
     """
     Abstract Metadata used to communicate back
@@ -446,6 +458,17 @@ def build_connector_worker_meta(self) -> KVConnectorWorkerMetadata | None:
     # Scheduler-side methods
     # ==============================
 
+    def bind_scheduler_state(self, scheduler_state: SchedulerState):
+        """
+        Bind the scheduler state to the connector.
+        This function is called by the scheduler after initialization
+        and before the first model execution.
+
+        Args:
+            scheduler_state (SchedulerState): the scheduler state.
+        """
+        return
+
     @abstractmethod
     def get_num_new_matched_tokens(
         self,
diff --git a/vllm/distributed/kv_transfer/kv_connector/v1/multi_connector.py b/vllm/distributed/kv_transfer/kv_connector/v1/multi_connector.py
index 4ef8f0ac9c90..3757188304be 100644
--- a/vllm/distributed/kv_transfer/kv_connector/v1/multi_connector.py
+++ b/vllm/distributed/kv_transfer/kv_connector/v1/multi_connector.py
@@ -18,6 +18,7 @@
     KVConnectorMetadata,
     KVConnectorRole,
     KVConnectorWorkerMetadata,
+    SchedulerState,
 )
 from vllm.distributed.kv_transfer.kv_connector.v1.metrics import (
     KVConnectorPromMetrics,
@@ -219,6 +220,10 @@ def register_kv_caches(self, kv_caches: dict[str, torch.Tensor]):
         for c in self._connectors:
             c.register_kv_caches(kv_caches)
 
+    def bind_scheduler_state(self, scheduler_state: SchedulerState):
+        for c in self._connectors:
+            c.bind_scheduler_state(scheduler_state)
+
     # We must override the base class method here because we need to bind
     # the metadata to each connector in the order of the connectors in the
     # MultiKVConnectorMetadata.
diff --git a/vllm/distributed/kv_transfer/kv_connector/v1/simple_cpu_offload_connector.py b/vllm/distributed/kv_transfer/kv_connector/v1/simple_cpu_offload_connector.py
index 6475b941ba59..87f156cfd620 100644
--- a/vllm/distributed/kv_transfer/kv_connector/v1/simple_cpu_offload_connector.py
+++ b/vllm/distributed/kv_transfer/kv_connector/v1/simple_cpu_offload_connector.py
@@ -13,6 +13,7 @@
     KVConnectorBase_V1,
     KVConnectorMetadata,
     KVConnectorRole,
+    SchedulerState,
     SupportsHMA,
 )
 from vllm.logger import init_logger
@@ -31,7 +32,6 @@
 if TYPE_CHECKING:
     from vllm.forward_context import ForwardContext
     from vllm.v1.attention.backend import AttentionMetadata
-    from vllm.v1.core.block_pool import BlockPool
     from vllm.v1.core.kv_cache_manager import KVCacheBlocks
     from vllm.v1.kv_cache_interface import KVCacheConfig
     from vllm.v1.request import Request
@@ -165,10 +165,11 @@ def build_connector_worker_meta(self):
 
     # --- Scheduler-side methods ---
 
-    # NOTE: New API only for SimpleCPUOffloadConnector.
-    def bind_gpu_block_pool(self, gpu_block_pool: "BlockPool") -> None:
+    def bind_scheduler_state(self, scheduler_state: SchedulerState) -> None:
         if self.scheduler_manager is not None:
-            self.scheduler_manager.bind_gpu_block_pool(gpu_block_pool)
+            self.scheduler_manager.bind_gpu_block_pool(
+                scheduler_state.kv_cache_manager.block_pool
+            )
 
     def get_num_new_matched_tokens(
         self,
diff --git a/vllm/v1/core/sched/scheduler.py b/vllm/v1/core/sched/scheduler.py
index 395fa80bfe53..c76ca53d9a5e 100644
--- a/vllm/v1/core/sched/scheduler.py
+++ b/vllm/v1/core/sched/scheduler.py
@@ -24,7 +24,10 @@
     KVConnectorRole,
     SupportsHMA,
 )
-from vllm.distributed.kv_transfer.kv_connector.v1.base import KVConnectorMetadata
+from vllm.distributed.kv_transfer.kv_connector.v1.base import (
+    KVConnectorMetadata,
+    SchedulerState,
+)
 from vllm.distributed.kv_transfer.kv_connector.v1.metrics import KVConnectorStats
 from vllm.logger import init_logger
 from vllm.model_executor.layers.fused_moe.routed_experts_capturer import (
@@ -238,12 +241,6 @@ def __init__(
             hash_block_size=hash_block_size,
             metrics_collector=self.kv_metrics_collector,
         )
-        # Bind GPU block pool to the KV connector. This must happen after
-        # kv_cache_manager is constructed so block_pool is available.
-        if self.connector is not None and hasattr(
-            self.connector, "bind_gpu_block_pool"
-        ):
-            self.connector.bind_gpu_block_pool(self.kv_cache_manager.block_pool)
 
         self.use_pp = self.parallel_config.pipeline_parallel_size > 1
         self.use_v2_model_runner = envs.VLLM_USE_V2_MODEL_RUNNER
@@ -298,6 +295,9 @@ def __init__(
             )
 
         self._pause_state: PauseState = PauseState.UNPAUSED
+        if self.connector is not None:
+            state = SchedulerState(kv_cache_manager=self.kv_cache_manager)
+            self.connector.bind_scheduler_state(state)
 
     def _mamba_block_aligned_split(
         self,