Index: src/wp-admin/authorize-application.php
===================================================================
--- src/wp-admin/authorize-application.php	(revision 52957)
+++ src/wp-admin/authorize-application.php	(working copy)
@@ -165,13 +165,22 @@
 				?>
 				<p>
 					<?php
-					printf(
+					/* translators: 1: URL to my-sites.php, 2: Number of sites the user has. */
+					$msg_fmt  = _n(
+						'This will grant access to <a href="%1$s">the %2$s site in this installation that you have permissions on</a>.',
+						'This will grant access to <a href="%1$s">all %2$s sites in this installation that you have permissions on</a>.',
+						$blogs_count
+					);
+					if ( is_super_admin() ) {
 						/* translators: 1: URL to my-sites.php, 2: Number of sites the user has. */
-						_n(
-							'This will grant access to <a href="%1$s">the %2$s site in this installation that you have permissions on</a>.',
-							'This will grant access to <a href="%1$s">all %2$s sites in this installation that you have permissions on</a>.',
+						$msg_fmt  = _n(
+							'This will grant access to <a href="%1$s">the %2$s site on the network as you have Super Admin rights</a>.',
+							'This will grant access to <a href="%1$s">all %2$s sites on the network as you have Super Admin rights</a>.',
 							$blogs_count
-						),
+						);
+					}
+					printf(
+						$msg_fmt,
 						admin_url( 'my-sites.php' ),
 						number_format_i18n( $blogs_count )
 					);
Index: src/wp-admin/user-edit.php
===================================================================
--- src/wp-admin/user-edit.php	(revision 52957)
+++ src/wp-admin/user-edit.php	(working copy)
@@ -746,13 +746,22 @@
 										?>
 										<p>
 											<?php
-											printf(
+											/* translators: 1: URL to my-sites.php, 2: Number of sites the user has. */
+											$msg_fmt = _n(
+												'Application passwords grant access to <a href="%1$s">the %2$s site in this installation that you have permissions on</a>.',
+												'Application passwords grant access to <a href="%1$s">all %2$s sites in this installation that you have permissions on</a>.',
+												$blogs_count
+											);
+											if ( is_super_admin( $user_id ) ) {
 												/* translators: 1: URL to my-sites.php, 2: Number of sites the user has. */
-												_n(
-													'Application passwords grant access to <a href="%1$s">the %2$s site in this installation that you have permissions on</a>.',
-													'Application passwords grant access to <a href="%1$s">all %2$s sites in this installation that you have permissions on</a>.',
+												$msg_fmt = _n(
+													'Application passwords grant access to <a href="%1$s">the %2$s site on the network as you have Super Admin rights</a>.',
+													'Application passwords grant access to <a href="%1$s">all %2$s sites on the network as you have Super Admin rights</a>.',
 													$blogs_count
-												),
+												);
+											}
+											printf(
+												$msg_fmt,
 												admin_url( 'my-sites.php' ),
 												number_format_i18n( $blogs_count )
 											);