Entering the 1996 season, Inoue lobbied Tyrrell for a drive, but the team chose Ukyo Katayama with his Mild Seven sponsorship money from Japan Tobacco.
Entrando na tempada 1996, Inoue solicitou a Tyrrell un volante, pero o equipo elixiu Ukyo Katayama co seu diñeiro de patrocinio Mild Seven de Japan Tobacco.