diff --git a/man2/lseek.2 b/man2/lseek.2
index c5299e8d9..a5cdd12c2 100644
--- a/man2/lseek.2
+++ b/man2/lseek.2
@@ -213,7 +213,7 @@ is
 .B SEEK_DATA
 or
 .BR SEEK_HOLE ,
-and the current file offset is beyond the end of the file.
+and the file offset is beyond the end of the file.
 .SH CONFORMING TO
 POSIX.1-2001, POSIX.1-2008, SVr4, 4.3BSD.
 
@@ -262,8 +262,8 @@ Note that file descriptors created by
 .BR dup (2)
 or
 .BR fork (2)
-share the current file position pointer, so seeking on such files may be
-subject to race conditions.
+refer to the same open file descriptions (and thus file offsets),
+so seeking on such files may be subject to race conditions.
 .SH SEE ALSO
 .BR dup (2),
 .BR fork (2),