diff --git a/man2/poll.2 b/man2/poll.2
index 26bb10dd6..163df6e20 100644
--- a/man2/poll.2
+++ b/man2/poll.2
@@ -416,7 +416,10 @@ The glibc
 .BR ppoll ()
 wrapper function specifies this argument as a fixed value
 (equal to
-.IR sizeof(sigset_t) ).
+.IR sizeof(kernel_sigset_t) ). See
+.BR sigprocmask(2)
+for a discussion on the differences between the kernel and the libc
+notion of the sigset.
 .SH BUGS
 See the discussion of spurious readiness notifications under the
 BUGS section of
diff --git a/man2/select.2 b/man2/select.2
index 1a5d36a91..5b02fdaa6 100644
--- a/man2/select.2
+++ b/man2/select.2
@@ -510,9 +510,9 @@ pointer, but is instead a structure of the form:
 .nf
 
 struct {
-    const sigset_t *ss;     /* Pointer to signal set */
-    size_t          ss_len; /* Size (in bytes) of object pointed
-                               to by 'ss' */
+    const kernel_sigset_t *ss;     /* Pointer to signal set */
+    size_t                 ss_len; /* Size (in bytes) of object pointed
+                                      to by 'ss' */
 };
 
 .fi
@@ -520,7 +520,10 @@ struct {
 This allows the system call to obtain both
 a pointer to the signal set and its size,
 while allowing for the fact that most architectures
-support a maximum of 6 arguments to a system call.
+support a maximum of 6 arguments to a system call. See
+.BR sigprocmask(2)
+for a discussion of the difference between the kernel and libc
+notion of the signal set.
 .SH BUGS
 POSIX allows an implementation to define an upper limit,
 advertised via the constant