March 14 (Reuters) - Cleveland-Cliffs Inc would consider another bid for United States Steel, provided it has union backing, but it would be significantly lower than Nippon Steel's current offer, Bloomberg News reported on Thursday.

US Steel and Cleveland-Cliffs did not immediately respond to Reuters' requests for comments. (Reporting by Pratyush Thakur in Bengaluru; Editing by Krishna Chandra Eluri)