diff --git a/pandas/_libs/sparse.pyi b/pandas/_libs/sparse.pyi
new file mode 100644
index 0000000000000..aff1ed6cef74c
--- /dev/null
+++ b/pandas/_libs/sparse.pyi
@@ -0,0 +1,45 @@
+from typing import (
+    Sequence,
+    TypeVar,
+)
+
+import numpy as np
+
+from pandas._typing import npt
+
+SparseIndexT = TypeVar("SparseIndexT", bound="SparseIndex")
+
+class SparseIndex:
+    length: int
+    npoints: int
+    def __init__(self): ...
+    @property
+    def ngaps(self) -> int: ...
+    @property
+    def nbytes(self) -> int: ...
+    def equals(self, other) -> bool: ...
+    def lookup(self, index: int) -> np.int32: ...
+    def lookup_array(self, indexer: npt.NDArray[np.int32]) -> npt.NDArray[np.int32]: ...
+    def to_int_index(self) -> IntIndex: ...
+    def to_block_index(self) -> BlockIndex: ...
+    def intersect(self: SparseIndexT, y_: SparseIndex) -> SparseIndexT: ...
+    def make_union(self: SparseIndexT, y_: SparseIndex) -> SparseIndexT: ...
+
+class IntIndex(SparseIndex):
+    indices: npt.NDArray[np.int32]
+    def __init__(
+        self, length: int, indices: Sequence[int], check_integrity: bool = True
+    ): ...
+
+class BlockIndex(SparseIndex):
+    nblocks: int
+    blocs: np.ndarray
+    blengths: np.ndarray
+    def __init__(self, length: int, blocs: np.ndarray, blengths: np.ndarray): ...
+
+def make_mask_object_ndarray(
+    arr: npt.NDArray[np.object_], fill_value
+) -> npt.NDArray[np.bool_]: ...
+def get_blocks(
+    indices: npt.NDArray[np.int32],
+) -> tuple[npt.NDArray[np.int32], npt.NDArray[np.int32]]: ...
diff --git a/pandas/core/arrays/sparse/array.py b/pandas/core/arrays/sparse/array.py
index 77142ef450487..0822cdddf7bd3 100644
--- a/pandas/core/arrays/sparse/array.py
+++ b/pandas/core/arrays/sparse/array.py
@@ -1063,20 +1063,21 @@ def _concat_same_type(
         else:
             sp_kind = "integer"
 
+        sp_index: SparseIndex
         if sp_kind == "integer":
             indices = []
 
             for arr in to_concat:
-                idx = arr.sp_index.to_int_index().indices.copy()
-                idx += length  # TODO: wraparound
+                int_idx = arr.sp_index.to_int_index().indices.copy()
+                int_idx += length  # TODO: wraparound
                 length += arr.sp_index.length
 
                 values.append(arr.sp_values)
-                indices.append(idx)
+                indices.append(int_idx)
 
             data = np.concatenate(values)
-            indices = np.concatenate(indices)
-            sp_index = IntIndex(length, indices)
+            indices_arr = np.concatenate(indices)
+            sp_index = IntIndex(length, indices_arr)
 
         else:
             # when concatenating block indices, we don't claim that you'll
@@ -1088,18 +1089,18 @@ def _concat_same_type(
             blocs = []
 
             for arr in to_concat:
-                idx = arr.sp_index.to_block_index()
+                block_idx = arr.sp_index.to_block_index()
 
                 values.append(arr.sp_values)
-                blocs.append(idx.blocs.copy() + length)
-                blengths.append(idx.blengths)
+                blocs.append(block_idx.blocs.copy() + length)
+                blengths.append(block_idx.blengths)
                 length += arr.sp_index.length
 
             data = np.concatenate(values)
-            blocs = np.concatenate(blocs)
-            blengths = np.concatenate(blengths)
+            blocs_arr = np.concatenate(blocs)
+            blengths_arr = np.concatenate(blengths)
 
-            sp_index = BlockIndex(length, blocs, blengths)
+            sp_index = BlockIndex(length, blocs_arr, blengths_arr)
 
         return cls(data, sparse_index=sp_index, fill_value=fill_value)
 
@@ -1666,8 +1667,9 @@ def make_sparse(
     return sparsified_values, index, fill_value
 
 
-def make_sparse_index(length, indices, kind):
+def make_sparse_index(length, indices, kind) -> SparseIndex:
 
+    index: SparseIndex
     if kind == "block" or isinstance(kind, BlockIndex):
         locs, lens = splib.get_blocks(indices)
         index = BlockIndex(length, locs, lens)