"The consular services remain suspended," embassy press officer Johann Schmonsees told AFP, adding that other embassy business continues as usual.
No visa and other consular services are being offered at the embassy in the Saudi capital and at consulates general in Jeddah and Dhahran.
The embassy has said it decided not to open to the public because of "heightened security concerns".
There would have "to be a credible threat" for the embassy to take such measures, a senior State Department official said, but there have been no further details.
A separate caution on Friday warned that Western oil workers risked being attacked or kidnapped by "terrorist" groups.
Saudi Arabia has taken part in US-led air strikes that began in September against the Islamic State jihadist group in Syria, raising concerns about possible retaliation in the kingdom.
Westerners have been attacked in Saudi Arabia four times since October.
In the latest incident, two American employees of US defence contractor Vinnell Arabia came under fire in the country's east on January 30, wounding one.
That was the first deadly attack on Westerners in Saudi Arabia since Al-Qaeda's 2003-2007 campaign of bombings and shootings that killed American expatriate workers and other Westerners along with Saudi security officers.
In November, a Dane was shot and wounded in Riyadh when he was fired on from a car. Security officers arrested three Saudis who allegedly acted "in support of" IS.
A week after the Dane's shooting, someone stabbed and wounded a Canadian on Saudi Arabia's Gulf coast.
The interior ministry confirmed a "terrorist" link only in the Dane's case.
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