Air Senegal, which chartered the Boeing 737-300 from Transair, and the investigation bureau did not answer questions submitted by AFP.
The jet was taking off for Bamako in Mali carrying 79 passengers and six crew when it left the runway on Thursday. A fire started in part of the plane and the airport was closed for several hours.
State-owned Air Senegal, launched in 2018 as part of efforts to make Dakar a regional air hub, has faced criticism over the quality of its services.
US manufacturer Boeing has also faced questions about its safety record after two 737 MAX crashes within five months and another scare involving an aircraft over Alaska in January.