--- wp-admin/includes/class-pclzip.php
+++ wp-admin/includes/class-pclzip.php
@@ -2673,9 +2673,14 @@
           return PclZip::errorCode();
         }
 
-        // ----- Read the file content
-        $v_content = @fread($v_file, $p_header['size']);
-
+        if ( $p_entry['compressed_size'] > 0 ) {
+            // ----- Read the file content
+            $v_content = @fread($v_file, $p_header['size']);
+        }
+        else {
+            $v_content = '';
+        }
+        
         // ----- Close the file
         @fclose($v_file);