In an interview with AFP, coalition spokesman Brigadier General Ahmed al-Assiri said Saudi-led forces will continue retaliating against targets over the border until the proposed 11:00 pm (2000 GMT) Tuesday ceasefire, "if they continue to fire their rockets towards our cities, our population".
Saudi Arabia announced the ceasefire date on Friday after more than six weeks of bombing Iran-backed rebels in Yemen, but said the rebels will also have to abide by it.
Four Katyusha rockets today hit a house in the Saudi border region of Najran, wounding four women and sparking return artillery fire, Assiri told AFP.
Shells from Yemen last week killed several people in the border region, the first attacks on populated areas of the kingdom since the coalition on March 26 began air strikes aiming to stop an advance by the Shiite Huthi rebels.
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"Such militia should be judged by their acts, not by what they say in the media," Assiri said. "Let's wait (until) Tuesday 11:00 pm."
The United Nations has called repeatedly for a ceasefire after weeks of fighting that have killed more than 1,400 people, many of them civilians, and displaced at least 300,000.
Coalition warplanes struck the Huthi stronghold of Saada in Yemen's northern mountains for a second straight night Saturday after declaring the whole province a military target.
"The indiscriminate bombing of populated areas, with or without prior warning, is in contravention of international humanitarian law," he said.