Brendon Hartley was saved from the Formula One chop by his practice and qualifying drives at the Canadian Grand prix.
One of his team bosses has confirmed Hartley was on thin ice before the Montreal race, where he was taken out by local Lance Stroll on the first lap.
Toro Rosso's Hartley had qualified 12th with an upgraded Honda engine before suffering another unfortunate incident in his first full F1 season.
Dr Helmut Marko, consultant to the parent Red Bull Racing team, said Hartley was "perhaps looking a bit better".
"If the trajectory had not improved, then we would have had to look somewhere for an alternative," Marko told the Germany motorsport-magazine.com.