"Obviously, our goal is to stop that," Lutz said. "It may be impossible to stop even if we gain market share in every one of our markets because Toyota is so huge and expanding so fast in the Asian markets.
"If they only grow with the market in those rapidly growing Asian markets, they risk knocking us off."
Lutz said GM is determined to do what it takes to remain the No. 1 automaker in the world "but we've got to run our own race."
GM cannot react like a race car driver who is in the lead position and is being gained on by a competitor, Lutz said.
"He is so obsessed with that competitor's car growing larger in the rear-view mirror that he finally spends all of his time on the rear-view mirror and not enough on his own driving and winds up going off the road," Lutz said.
Speaking of Toyota Motor Corp., Lutz said that automaker stated it wants to be No 1.
"We think we have the right strategy to remain No. 1, and after this initial surge by Toyota I am confident that we are headed for a surge.
"As Rick Wagoner pointed out, we gained a lot of market share in a lot of areas of the world" this past year, Lutz said, "But time will tell" how long GM can remain No. 1.