Keown is not one of those who believe getting rid of the Frenchman would be a wise move.
However, while visiting the Millbrook testing plant of England sponsors Vauxhall, the former Arsenal title winner accepted the heat is on.
"The manager will come under pressure now but no more than the pressure he puts himself under," said Keown.
"There could be radical surgery to try and improve the team and bring extra bodies in.
"I hope he is able to find the right ingredients because it just needs a bit more steel, competitiveness and experience.
"The results have to change. When they get themselves into a position of winning again, they have to make it count."