diff --git a/man2/seccomp.2 b/man2/seccomp.2
index 8c80fb7bb..93f8190ce 100644
--- a/man2/seccomp.2
+++ b/man2/seccomp.2
@@ -69,9 +69,10 @@ The only system calls that the calling thread is permitted to make are
 .BR exit_group (2)),
 and
 .BR sigreturn (2).
-Other system calls result in the delivery of a
+Other system calls result in the termination of the calling thread,
+or termination of the entire process with the
 .BR SIGKILL
-signal.
+signal when there is only one thread.
 Strict secure computing mode is useful for number-crunching
 applications that may need to execute untrusted byte code, perhaps
 obtained by reading from a pipe or socket.