The top US general began an unannounced visit to the Middle East on Saturday to discuss ways to avoid any new escalation in tensions that could spiral into a broader conflict, as the region braces for a threatened Iranian attack against Israel.

Air Force General C.Q. Brown, chairman of the Joint Chiefs of Staff, began his trip in Jordan and said he will also travel to Egypt and Israel in the coming days to hear the perspectives of military leaders.

His visit comes as the United States is trying to clinch an elusive Gaza ceasefire-for-hostages deal between Israel and Palestinian militant group Hamas, which Brown said would "help bring down the temperature," if achieved.

"At the same time, as I talk to my counterparts, what are the things we can do to deter any type of broader escalation and ensure we're taking all the appropriate steps to (avoid) ... a broader conflict," Brown told Reuters before landing in Jordan.