diff --git a/tmate-main.c b/tmate-main.c
index 0cbd0c75..8d17f126 100644
--- a/tmate-main.c
+++ b/tmate-main.c
@@ -433,8 +433,8 @@ static void tmate_spawn_daemon(struct tmate_session *session)
 	set_session_token(session, token);
 	free(token);
 
-	tmate_notice("Spawning daemon for %s at %s (%s)",
-		     client->username, client->ip_address, client->pubkey);
+	tmate_info("Spawning daemon for %s at %s (%s)",
+		   client->username, client->ip_address, client->pubkey);
 
 	session->tmux_socket_fd = server_create_socket();
 	if (session->tmux_socket_fd < 0)
@@ -483,8 +483,8 @@ static void tmate_spawn_pty_client(struct tmate_session *session)
 
 	set_session_token(session, token);
 
-	tmate_notice("Spawning pty client for %s (%s)",
-		     client->ip_address, client->pubkey);
+	tmate_info("Spawning pty client for %s (%s)",
+		   client->ip_address, client->pubkey);
 
 	session->tmux_socket_fd = client_connect(session->ev_base, socket_path, 0);
 	if (session->tmux_socket_fd < 0) {
diff --git a/tmate-ssh-server.c b/tmate-ssh-server.c
index 51c10034..fc868871 100644
--- a/tmate-ssh-server.c
+++ b/tmate-ssh-server.c
@@ -215,7 +215,8 @@ static void register_on_ssh_read(struct tmate_ssh_client *client)
 
 static void handle_sigalrm(__unused int sig)
 {
-	tmate_fatal("Connection grace period (%d) passed", TMATE_SSH_GRACE_PERIOD);
+	tmate_debug("Connection grace period (%ds) passed", TMATE_SSH_GRACE_PERIOD);
+	exit(1);
 }
 
 static void client_bootstrap(struct tmate_session *_session)
@@ -225,7 +226,7 @@ static void client_bootstrap(struct tmate_session *_session)
 	ssh_event mainloop;
 	ssh_session session = client->session;
 
-	tmate_notice("Bootstrapping ssh client ip=%s", client->ip_address);
+	tmate_info("Bootstrapping ssh client ip=%s", client->ip_address);
 
 	_session->ev_base = osdep_event_init();
 
@@ -255,7 +256,7 @@ static void client_bootstrap(struct tmate_session *_session)
 
 	ssh_set_auth_methods(client->session, SSH_AUTH_METHOD_PUBLICKEY);
 
-	tmate_info("Exchanging DH keys");
+	tmate_debug("Exchanging DH keys");
 	if (ssh_handle_key_exchange(session) < 0)
 		tmate_fatal("Error doing the key exchange: %s",
 				    ssh_get_error(session));
diff --git a/tmate-websocket.c b/tmate-websocket.c
index 2bd2045f..afab59fd 100644
--- a/tmate-websocket.c
+++ b/tmate-websocket.c
@@ -212,7 +212,7 @@ void tmate_websocket_exec(struct tmate_session *session, const char *command)
 void tmate_notify_client_join(__unused struct tmate_session *session,
 			      struct client *c)
 {
-	tmate_notice("Client joined (cid=%d)", c->id);
+	tmate_info("Client joined (cid=%d)", c->id);
 
 	if (!tmate_has_websocket())
 		return;
@@ -230,7 +230,7 @@ void tmate_notify_client_join(__unused struct tmate_session *session,
 void tmate_notify_client_left(__unused struct tmate_session *session,
 			      struct client *c)
 {
-	tmate_notice("Client left (cid=%d)", c->id);
+	tmate_info("Client left (cid=%d)", c->id);
 
 	if (!tmate_has_websocket())
 		return;
@@ -416,7 +416,7 @@ static int _tmate_connect_to_websocket(const char *hostname, int port)
 	if (fcntl(sockfd, F_SETFL, O_NONBLOCK) < 0)
 		tmate_fatal("Can't set websocket server socket to non-blocking");
 
-	tmate_notice("Connected to websocket server at %s:%d", hostname, port);
+	tmate_info("Connected to websocket server at %s:%d", hostname, port);
 
 	return sockfd;
 }