diff --git a/Modules/_ssl.c b/Modules/_ssl.c
index 1e4b38a..990d54c 100644
--- a/Modules/_ssl.c
+++ b/Modules/_ssl.c
@@ -1091,8 +1091,12 @@ static PyObject *PySSL_SSLwrite(PySSLSocket *self, PyObject *args)
     }
     do {
         err = 0;
+        if (len <= INT_MAX)
+            len = (int)buf.len;
+        else
+            len = INT_MAX;
         PySSL_BEGIN_ALLOW_THREADS
-        len = SSL_write(self->ssl, buf.buf, buf.len);
+        len = SSL_write(self->ssl, buf.buf, len);
         err = SSL_get_error(self->ssl, len);
         PySSL_END_ALLOW_THREADS
         if (PyErr_CheckSignals()) {