diff --git a/src/wp-admin/includes/theme.php b/src/wp-admin/includes/theme.php
index adf642867c..5738893a9e 100644
--- a/src/wp-admin/includes/theme.php
+++ b/src/wp-admin/includes/theme.php
@@ -811,6 +811,61 @@ function customize_themes_print_templates() {
 						</p>
 					<# } #>
 
+					<# if ( ! data.compatibleWP || ! data.compatiblePHP ) { #>
+						<div class="notice notice-error notice-alt notice-large"><p>
+							<# if ( ! data.compatibleWP && ! data.compatiblePHP ) { #>
+								<?php
+								_e( 'This theme doesn&#8217;t work with your versions of WordPress and PHP.' );
+								if ( current_user_can( 'update_core' ) && current_user_can( 'update_php' ) ) {
+									printf(
+										/* translators: 1: URL to WordPress Updates screen, 2: URL to Update PHP page. */
+										' ' . __( '<a href="%1$s">Please update WordPress</a>, and then <a href="%2$s">learn more about updating PHP</a>.' ),
+										self_admin_url( 'update-core.php' ),
+										esc_url( wp_get_update_php_url() )
+									);
+									wp_update_php_annotation( '</p><p><em>', '</em>' );
+								} elseif ( current_user_can( 'update_core' ) ) {
+									printf(
+										/* translators: %s: URL to WordPress Updates screen. */
+										' ' . __( '<a href="%s">Please update WordPress</a>.' ),
+										self_admin_url( 'update-core.php' )
+									);
+								} elseif ( current_user_can( 'update_php' ) ) {
+									printf(
+										/* translators: %s: URL to Update PHP page. */
+										' ' . __( '<a href="%s">Learn more about updating PHP</a>.' ),
+										esc_url( wp_get_update_php_url() )
+									);
+									wp_update_php_annotation( '</p><p><em>', '</em>' );
+								}
+								?>
+							<# } else if ( ! data.compatibleWP ) { #>
+								<?php
+								_e( 'This theme doesn&#8217;t work with your version of WordPress.' );
+								if ( current_user_can( 'update_core' ) ) {
+									printf(
+										/* translators: %s: URL to WordPress Updates screen. */
+										' ' . __( '<a href="%s">Please update WordPress</a>.' ),
+										self_admin_url( 'update-core.php' )
+									);
+								}
+								?>
+							<# } else if ( ! data.compatiblePHP ) { #>
+								<?php
+								_e( 'This theme doesn&#8217;t work with your version of PHP.' );
+								if ( current_user_can( 'update_php' ) ) {
+									printf(
+										/* translators: %s: URL to Update PHP page. */
+										' ' . __( '<a href="%s">Learn more about updating PHP</a>.' ),
+										esc_url( wp_get_update_php_url() )
+									);
+									wp_update_php_annotation( '</p><p><em>', '</em>' );
+								}
+								?>
+							<# } #>
+						</p></div>
+					<# } #>
+
 					<p class="theme-description">{{{ data.description }}}</p>
 
 					<# if ( data.tags ) { #>
diff --git a/src/wp-admin/themes.php b/src/wp-admin/themes.php
index fc858b2c87..7dfb092a27 100644
--- a/src/wp-admin/themes.php
+++ b/src/wp-admin/themes.php
@@ -692,6 +692,61 @@ function wp_theme_auto_update_setting_template() {
 					?>
 				</p>
 
+				<# if ( ! data.compatibleWP || ! data.compatiblePHP ) { #>
+					<div class="notice notice-error notice-alt notice-large"><p>
+						<# if ( ! data.compatibleWP && ! data.compatiblePHP ) { #>
+							<?php
+							_e( 'This theme doesn&#8217;t work with your versions of WordPress and PHP.' );
+							if ( current_user_can( 'update_core' ) && current_user_can( 'update_php' ) ) {
+								printf(
+									/* translators: 1: URL to WordPress Updates screen, 2: URL to Update PHP page. */
+									' ' . __( '<a href="%1$s">Please update WordPress</a>, and then <a href="%2$s">learn more about updating PHP</a>.' ),
+									self_admin_url( 'update-core.php' ),
+									esc_url( wp_get_update_php_url() )
+								);
+								wp_update_php_annotation( '</p><p><em>', '</em>' );
+							} elseif ( current_user_can( 'update_core' ) ) {
+								printf(
+									/* translators: %s: URL to WordPress Updates screen. */
+									' ' . __( '<a href="%s">Please update WordPress</a>.' ),
+									self_admin_url( 'update-core.php' )
+								);
+							} elseif ( current_user_can( 'update_php' ) ) {
+								printf(
+									/* translators: %s: URL to Update PHP page. */
+									' ' . __( '<a href="%s">Learn more about updating PHP</a>.' ),
+									esc_url( wp_get_update_php_url() )
+								);
+								wp_update_php_annotation( '</p><p><em>', '</em>' );
+							}
+							?>
+						<# } else if ( ! data.compatibleWP ) { #>
+							<?php
+							_e( 'This theme doesn&#8217;t work with your version of WordPress.' );
+							if ( current_user_can( 'update_core' ) ) {
+								printf(
+									/* translators: %s: URL to WordPress Updates screen. */
+									' ' . __( '<a href="%s">Please update WordPress</a>.' ),
+									self_admin_url( 'update-core.php' )
+								);
+							}
+							?>
+						<# } else if ( ! data.compatiblePHP ) { #>
+							<?php
+							_e( 'This theme doesn&#8217;t work with your version of PHP.' );
+							if ( current_user_can( 'update_php' ) ) {
+								printf(
+									/* translators: %s: URL to Update PHP page. */
+									' ' . __( '<a href="%s">Learn more about updating PHP</a>.' ),
+									esc_url( wp_get_update_php_url() )
+								);
+								wp_update_php_annotation( '</p><p><em>', '</em>' );
+							}
+							?>
+						<# } #>
+					</p></div>
+				<# } #>
+
 				<# if ( data.actions.autoupdate ) { #>
 					<?php echo wp_theme_auto_update_setting_template(); ?>
 				<# } #>
@@ -702,6 +757,7 @@ function wp_theme_auto_update_setting_template() {
 					{{{ data.update }}}
 				</div>
 				<# } #>
+
 				<p class="theme-description">{{{ data.description }}}</p>
 
 				<# if ( data.parent ) { #>