An energy minister has said the United Kingdom is providing air defence to Saudi Arabia through its strategic partnership, but would not be drawn further on whether Britain is assisting counter-attacks against the Houthis.
It comes amid reports that UK Prime Minister Andy Burnham is considering requests from Riyadh for a range of military support to counterattacks from Iran-backed Houthi rebels in Yemen.
Concerns were raised in parliament about how Houthi attacks have led to the closure of a 1,200-kilometre east-west pipeline that allows Saudi crude oil to bypass the Strait of Hormuz and facilitates the export of millions of barrels a day.
It has been a key alternative route since the start of the war in Iran and its temporary closure has led to fears about the impact it could have on oil prices.
Speaking in the House of Commons on Tuesday, Energy Minister Martin McCluskey said: "I'm not going to be drawn on questions of operational military activity, but what I would say is we're already obviously providing air defence support to Saudi Arabia through the defence partnership that we have, and we have a really long and proud history of supporting the defence of our partners and allies."
The minister told members of parliament (MPs): "The United Kingdom strongly condemns the Houthis' decision to resume conflict in Yemen and their recent attacks on Saudi Arabia, including the targeting of civilian and energy infrastructure.
"We offer our condolences to those injured and affected, and stand with Saudi Arabia, the internationally recognized government of Yemen, and our partners in the region.
"The foreign secretary has spoken with his Saudi counterpart, as has the national security adviser.
"We are closely monitoring the situation as part of our overall response to the situation in the Middle East and disruption to the Strait of Hormuz.
"Saudi authorities confirmed over the weekend that the east-west oil pipeline is temporarily closed following an attack on September 11.
"The Saudi government has not yet provided further information on the duration of the closure."
He added: "We are working tirelessly with our international partners to find a permanent solution to the conflict and minimize the knock-on impact on households and we will keep looking at what more we can do to insulate families from the effect of rising energy bills."
A Downing Street spokesman earlier said the Houthis "must cease their attacks immediately", adding that Saudi Arabia and Yemen "have the right to defend themselves".
He added: "We will continue to work with partners to support regional stability, protect civilians and support humanitarian access in Yemen."