diff --git a/man2/seccomp.2 b/man2/seccomp.2
index ac0070160..8ce1457ae 100644
--- a/man2/seccomp.2
+++ b/man2/seccomp.2
@@ -100,12 +100,17 @@ is allowed by the filter,
 the filters and constraints on permitted system calls are preserved across an
 .BR execve (2).
 
-Prior to using this operation, the process must call
-.IR "prctl(PR_SET_NO_NEW_PRIVS,\ 1)"
-or run with
+In order to use the
+.BR SECCOMP_SET_MODE_FILTER
+operation, either the caller must have the
 .BR CAP_SYS_ADMIN
-privileges in its namespace.
-If these are not true, the call will fail and return
+capability or the call must be preceded by the call:
+
+    prctl(PR_SET_NO_NEW_PRIVS, 1);
+
+Otherwise, the
+.BR SECCOMP_SET_MODE_FILTER
+operation will fail and return
 .BR EACCES
 in
 .IR errno .