By eliminating unnecessary and costly protocol receptions, President Faye seeks to promote economic efficiency in the West African country.
PM Sonko unveiled on Friday a cabinet of 25 ministers, hailing it as a break from the past.
Speaking after his appointment, Sonko said he would present Faye with a full list of proposed ministerial appointments for his approval.
Faye has vowed to restore national sovereignty over key assets such as the oil, gas and fishing sectors.
Faye's itinerary also will also include visits to Rwanda, South Africa, and Ethiopia, signifying his commitment to regional diplomacy and cooperation.
Faye vowed to "fight corruption at every level" rebuild institutions and tackle the cost of living crisis.
At least seven of the presidential contenders congratulated Faye in light of initial indications from the ongoing vote count.
The winner will be tasked with steering Senegal, viewed as a beacon of democracy in coup-hit West Africa, out of its recent troubles and managing revenues from oil and gas reserves.