The 25-year-old was travelling to the CAF Africa Cup of Nations with the rest of his team-mates prior to the start of the competition when they were shot at with machine-guns in the Cabinda region of the country.
Three people died in the 8 January incident - the bus driver, an assistant coach and a press officer - while Obilale had to be flown to South Africa for emergency treatment after sustaining gunshot wounds in the lower back and abdomen.
"He has made extremely good progress," trauma specialist Ken Boffard told Talk Radio 702. "He is continuing to recover. "He is awake, eating, talking and he is in good spirits."
The France-based goalkeeper had been in intensive care after the attack, which also prompted his country to withdraw its participation from the continental spectacle.