Kerry, who is in Saudi Arabia for negotiations with his counterpart Adel Jubeir, said at a press conference there was no talk of sending troops to Yemen to roll back Houthi rebels' insurgency there.
In an earlier Twitter post, Kerry said he had held a constructive meeting with Yemen's fugitive President Abd Rabbuh Mansur Hadi, who fled to Riyadh earlier this year following the rebel advance on his stronghold in the port city Aden.
Yemen has been engulfed in a civil war after the Shiite Houthis seized large swathes of land last summer and overran the Yemeni capital Sanaa.
Saudi-led air raids by an international coalition of Arab forces continued into May, despite Riyadh's announcement last month that the military phase of its operation was over. Earlier in the day, Saudi Foreign Minister Jubeir pledged to uphold a ceasefire to allow humanitarian aid into the country.