diff --git a/Doc/library/ssl.rst b/Doc/library/ssl.rst
index d9d68d1..b261eee 100644
--- a/Doc/library/ssl.rst
+++ b/Doc/library/ssl.rst
@@ -875,7 +875,8 @@
 
    Return the protocol that was selected during the TLS handshake.  If
    :meth:`SSLContext.set_alpn_protocols` was not called, if the other party does
-   not support ALPN, or if the handshake has not happened yet, ``None`` is
+   not support ALPN, if this socket does not support any of the client's
+   proposed protocols, or if the handshake has not happened yet, ``None`` is
    returned.
 
    .. versionadded:: 2.7.10
diff --git a/Lib/test/test_ssl.py b/Lib/test/test_ssl.py
index 711f494..f3da0b1 100644
--- a/Lib/test/test_ssl.py
+++ b/Lib/test/test_ssl.py
@@ -2819,9 +2819,9 @@
             server_protocols = ['foo', 'bar', 'milkshake']
             protocol_tests = [
                 (['foo', 'bar'], 'foo'),
-                (['bar', 'foo'], 'bar'),
+                (['bar', 'foo'], 'foo'),
                 (['milkshake'], 'milkshake'),
-                (['http/3.0', 'http/4.0'], 'foo')
+                (['http/3.0', 'http/4.0'], None)
             ]
             for client_protocols, expected in protocol_tests:
                 server_context = ssl.SSLContext(ssl.PROTOCOL_TLSv1)
diff --git a/Modules/_ssl.c b/Modules/_ssl.c
index db8a20b..1528742 100644
--- a/Modules/_ssl.c
+++ b/Modules/_ssl.c
@@ -2149,18 +2149,25 @@
 }
 
 static int
-do_protocol_selection(unsigned char **out, unsigned char *outlen,
-                      const unsigned char *remote_protocols, unsigned int remote_protocols_len,
-                      unsigned char *our_protocols, unsigned int our_protocols_len)
+do_protocol_selection(int alpn, unsigned char **out, unsigned char *outlen,
+                      const unsigned char *server_protocols, unsigned int server_protocols_len,
+                      const unsigned char *client_protocols, unsigned int client_protocols_len)
 {
-    if (our_protocols == NULL) {
-        our_protocols = (unsigned char*)"";
-        our_protocols_len = 0;
+    int ret;
+    if (client_protocols == NULL) {
+        client_protocols = (unsigned char *)"";
+        client_protocols_len = 0;
+    }
+    if (server_protocols == NULL) {
+        server_protocols = (unsigned char *)"";
+        server_protocols_len = 0;
     }
 
-    SSL_select_next_proto(out, outlen,
-                          remote_protocols, remote_protocols_len,
-                          our_protocols, our_protocols_len);
+    ret = SSL_select_next_proto(out, outlen,
+                                server_protocols, server_protocols_len,
+                                client_protocols, client_protocols_len);
+    if (alpn && ret != OPENSSL_NPN_NEGOTIATED)
+        return SSL_TLSEXT_ERR_NOACK;
 
     return SSL_TLSEXT_ERR_OK;
 }
@@ -2192,7 +2199,7 @@
               void *args)
 {
     PySSLContext *ctx = (PySSLContext *)args;
-    return do_protocol_selection(out, outlen, server, server_len,
+    return do_protocol_selection(0, out, outlen, server, server_len,
                                  ctx->npn_protocols, ctx->npn_protocols_len);
 }
 #endif
@@ -2244,9 +2251,9 @@
               void *args)
 {
     PySSLContext *ctx = (PySSLContext *)args;
-    return do_protocol_selection((unsigned char **)out, outlen,
-                                 client_protocols, client_protocols_len,
-                                 ctx->alpn_protocols, ctx->alpn_protocols_len);
+    return do_protocol_selection(1, (unsigned char **)out, outlen,
+                                 ctx->alpn_protocols, ctx->alpn_protocols_len,
+                                 client_protocols, client_protocols_len);
 }
 #endif