Index: src/wp-includes/wp-db.php
===================================================================
--- src/wp-includes/wp-db.php	(revision 39270)
+++ src/wp-includes/wp-db.php	(working copy)
@@ -3037,14 +3037,20 @@
 			return str_replace( '`', '', $maybe[1] );
 		}
 
-		// SHOW TABLE STATUS and SHOW TABLES
-		if ( preg_match( '/^\s*(?:'
-				. 'SHOW\s+TABLE\s+STATUS.+(?:LIKE\s+|WHERE\s+Name\s*=\s*)'
-				. '|SHOW\s+(?:FULL\s+)?TABLES.+(?:LIKE\s+|WHERE\s+Name\s*=\s*)'
-				. ')\W((?:[0-9a-zA-Z$_.`-]|[\xC2-\xDF][\x80-\xBF])+)\W/is', $query, $maybe ) ) {
-			return str_replace( '`', '', $maybe[1] );
+		// SHOW TABLE STATUS and SHOW TABLES WHERE Name = 'wp_posts'
+		if ( preg_match( '/^\s*SHOW\s+(?:TABLE\s+STATUS|(?:FULL\s+)?TABLES).+WHERE\s+Name\s*=\s*("|\')((?:[0-9a-zA-Z$_.-]|[\xC2-\xDF][\x80-\xBF])+)\\1/is', $query, $maybe ) ) {
+			return $maybe[2];
 		}
 
+		// SHOW TABLE STATUS LIKE and SHOW TABLES LIKE 'wp\_123\_%'
+		// This quoted LIKE operand seldom holds a full table name.
+		// It is usually a pattern for matching a prefix so we just
+		// strip the trailing % and unescape the _ to get 'wp_123_'
+		// which drop-ins can use for routing these SQL statements.
+		if ( preg_match( '/^\s*SHOW\s+(?:TABLE\s+STATUS|(?:FULL\s+)?TABLES)\s+(?:WHERE\s+Name\s+)?LIKE\s*("|\')((?:[\\\\0-9a-zA-Z$_.-]|[\xC2-\xDF][\x80-\xBF])+)%?\\1/is', $query, $maybe ) ) {
+			return str_replace( '\\_', '_', $maybe[2] );
+		}
+
 		// Big pattern for the rest of the table-related queries.
 		if ( preg_match( '/^\s*(?:'
 				. '(?:EXPLAIN\s+(?:EXTENDED\s+)?)?SELECT.*?\s+FROM'
Index: tests/phpunit/tests/db.php
===================================================================
--- tests/phpunit/tests/db.php	(revision 39270)
+++ tests/phpunit/tests/db.php	(working copy)
@@ -565,14 +565,6 @@
 			"DELETE a FROM $table a",
 			"DELETE `a` FROM $table a",
 
-			// STATUS
-			"SHOW TABLE STATUS LIKE '$table'",
-			"SHOW TABLE STATUS WHERE NAME='$table'",
-
-			"SHOW TABLES LIKE '$table'",
-			"SHOW FULL TABLES LIKE '$table'",
-			"SHOW TABLES WHERE NAME='$table'",
-
 			// Extended
 			"EXPLAIN SELECT * FROM $table",
 			"EXPLAIN EXTENDED SELECT * FROM $table",
@@ -671,6 +663,33 @@
 	}
 
 	/**
+	 * @ticket 38751
+	 */
+	function data_get_escaped_table_from_show_query() {
+		return array(
+			// Equality
+			array( "SHOW TABLE STATUS WHERE Name = 'test_name'", 'test_name' ),
+			array( "SHOW TABLE STATUS WHERE NAME=\"test_name\"", 'test_name' ),
+			array( "SHOW TABLES WHERE Name = \"test_name\"",     'test_name' ),
+			array( "SHOW FULL TABLES WHERE Name='test_name'",    'test_name' ),
+
+			// LIKE
+			array( "SHOW TABLE STATUS LIKE 'test\_prefix\_%'",   'test_prefix_' ),
+			array( "SHOW TABLE STATUS LIKE \"test\_prefix\_%\"", 'test_prefix_' ),
+			array( "SHOW TABLES LIKE 'test\_prefix\_%'",         'test_prefix_' ),
+			array( "SHOW FULL TABLES LIKE \"test\_prefix\_%\"",  'test_prefix_' ),
+		);
+	}
+
+	/**
+	 * @dataProvider data_get_escaped_table_from_show_query
+	 * @ticket 38751
+	 */
+	function test_get_escaped_table_from_show_query( $query, $table ) {
+		$this->assertEquals( $table, self::$_wpdb->get_table_from_query( $query ) );
+	}
+
+	/**
 	 * @ticket 21212
 	 */
 	function data_process_field_formats() {