diff --git a/Include/bytearrayobject.h b/Include/bytearrayobject.h
index a757b88..647a17a 100644
--- a/Include/bytearrayobject.h
+++ b/Include/bytearrayobject.h
@@ -22,11 +22,10 @@
 #ifndef Py_LIMITED_API
 typedef struct {
     PyObject_VAR_HEAD
-    Py_ssize_t ob_alloc; /* How many bytes allocated in ob_bytes */
-    char *ob_bytes;      /* Physical backing buffer */
-    char *ob_start;      /* Logical start inside ob_bytes */
-    /* XXX(nnorwitz): should ob_exports be Py_ssize_t? */
-    int ob_exports;      /* How many buffer exports */
+    Py_ssize_t ob_alloc;   /* How many bytes allocated in ob_bytes */
+    char *ob_bytes;        /* Physical backing buffer */
+    char *ob_start;        /* Logical start inside ob_bytes */
+    Py_ssize_t ob_exports; /* How many buffer exports */
 } PyByteArrayObject;
 #endif
 
diff --git a/Misc/NEWS.d/next/Core and Builtins/2019-10-19-12-44-13.bpo-38465.V1L8c4.rst b/Misc/NEWS.d/next/Core and Builtins/2019-10-19-12-44-13.bpo-38465.V1L8c4.rst
new file mode 100644
index 0000000..4f77ebb
--- /dev/null
+++ b/Misc/NEWS.d/next/Core and Builtins/2019-10-19-12-44-13.bpo-38465.V1L8c4.rst
@@ -0,0 +1 @@
+:class:`bytearray`, :class:`~array.array` and :class:`~mmap.mmap` objects allow now to export more than 2**31 buffers at a time.
\ No newline at end of file
diff --git a/Modules/arraymodule.c b/Modules/arraymodule.c
index 6aa981d..5ba2618 100644
--- a/Modules/arraymodule.c
+++ b/Modules/arraymodule.c
@@ -43,7 +43,7 @@
     Py_ssize_t allocated;
     const struct arraydescr *ob_descr;
     PyObject *weakreflist; /* List of weak references */
-    int ob_exports;  /* Number of exported buffers */
+    Py_ssize_t ob_exports;  /* Number of exported buffers */
 } arrayobject;
 
 static PyTypeObject Arraytype;
diff --git a/Modules/mmapmodule.c b/Modules/mmapmodule.c
index a3b9e4d..a5c0ae0 100644
--- a/Modules/mmapmodule.c
+++ b/Modules/mmapmodule.c
@@ -97,7 +97,7 @@
 #else
     off_t       offset;
 #endif
-    int     exports;
+    Py_ssize_t  exports;
 
 #ifdef MS_WINDOWS
     HANDLE      map_handle;