diff --git a/Modules/clinic/zlibmodule.c.h b/Modules/clinic/zlibmodule.c.h
index 02911ba317e..f810fcf81b3 100644
--- a/Modules/clinic/zlibmodule.c.h
+++ b/Modules/clinic/zlibmodule.c.h
@@ -245,7 +245,7 @@ exit:
 }
 
 PyDoc_STRVAR(zlib_Compress_flush__doc__,
-"sig=($self, mode=Z_FINISH)\n"
+"sig=($self, mode=zlib.Z_FINISH)\n"
 "Return a bytes object containing any remaining compressed data.\n"
 "\n"
 "  mode\n"
@@ -325,7 +325,7 @@ zlib_Decompress_copy(compobject *self, PyObject *Py_UNUSED(ignored))
 #endif /* !defined(ZLIB_DECOMPRESS_COPY_METHODDEF) */
 
 PyDoc_STRVAR(zlib_Decompress_flush__doc__,
-"sig=($self, length=DEF_BUF_SIZE)\n"
+"sig=($self, length=zlib.DEF_BUF_SIZE)\n"
 "Return a bytes object containing any remaining decompressed data.\n"
 "\n"
 "  length\n"
@@ -424,4 +424,4 @@ exit:
 
     return return_value;
 }
-/*[clinic end generated code: output=21556008559f839c input=a9049054013a1b77]*/
+/*[clinic end generated code: output=67d3e81eafcfb982 input=a9049054013a1b77]*/
diff --git a/Modules/zlibmodule.c b/Modules/zlibmodule.c
index cde16f7e450..2ba264fb655 100644
--- a/Modules/zlibmodule.c
+++ b/Modules/zlibmodule.c
@@ -828,7 +828,7 @@ zlib_Decompress_decompress_impl(compobject *self, Py_buffer *data, unsigned int
 /*[clinic input]
 zlib.Compress.flush
 
-    mode: int(c_default="Z_FINISH") = Z_FINISH
+    mode: int(c_default="Z_FINISH") = zlib.Z_FINISH
         One of the constants Z_SYNC_FLUSH, Z_FULL_FLUSH, Z_FINISH.
         If mode == Z_FINISH, the compressor object can no longer be
         used after calling the flush() method.  Otherwise, more data
@@ -840,7 +840,7 @@ Return a bytes object containing any remaining compressed data.
 
 static PyObject *
 zlib_Compress_flush_impl(compobject *self, int mode)
-/*[clinic end generated code: output=a203f4cefc9de727 input=6982996afe0772d8]*/
+/*[clinic end generated code: output=a203f4cefc9de727 input=73ed066794bd15bc]*/
 {
     int err;
     unsigned int length = DEF_BUF_SIZE, new_length;
@@ -1046,7 +1046,7 @@ error:
 /*[clinic input]
 zlib.Decompress.flush
 
-    length: uint(c_default="DEF_BUF_SIZE") = DEF_BUF_SIZE
+    length: uint(c_default="DEF_BUF_SIZE") = zlib.DEF_BUF_SIZE
         the initial size of the output buffer.
     /
 
@@ -1055,7 +1055,7 @@ Return a bytes object containing any remaining decompressed data.
 
 static PyObject *
 zlib_Decompress_flush_impl(compobject *self, unsigned int length)
-/*[clinic end generated code: output=db6fb753ab698e22 input=fe7954136712c353]*/
+/*[clinic end generated code: output=db6fb753ab698e22 input=1580956505978993]*/
 {
     int err;
     unsigned int new_length;