UN headquarters in New York and Geneva were asked to review whether some teams could be relocated to lower-cost duty stations or reduced or abolished.
Mr Guterres, whose second term ends in 2026, has supported a female successor.
Top United Nations officials have called for a peaceful and democratic transition in Bangladesh after Prime Minister Sheikh Hasina resigned.
The UN chief also warned of a “shadow pandemic” of vaccine hesitancy and misinformation that needs to be tackled.
“Ethiopians, Tigrayans, Amharas, Oromos, Afars have already suffered too much,” Mr Guterres lamented.
The UN deputy secretary-general praises President Muhammadu Buhari for promptly responding to protesters’ demands.
