28-year-old Ibrahim Toure, a player himself with Al Safa, had been suffering with cancer and died in Manchester on Thursday.
A spokesman for the Ivorian Football Federation said: "The Toure brothers, Kolo and Yaya, have decided to stay with the team. They are not leaving Brazil."
The Ivorian Football Federation had released a short statement confirming Ibrahim's passing: "The entire Ivorian delegation want to show their support to the players.
"In such a sad situation, the Ivory Coast team and the entire delegation here in Brazil, show their support to the Toure brothers and their family.
"The President of the IFF and the Executive Committee ask Ivorians for their prayers.”
It is the second tragedy to hit the Ivory Coast squad - Serey Die's father passed away two hours before kick off against Colombia. Die was seen being comforted by Yaya Toure during the national anthems.
Ivory Coast face Greece in Fortaleza on Tuesday and they will qualify for the last 16 with a win.
