With reigning champion Sebastian Vettel winning the last three races, the 24-year-old has now taken over the lead in the title race and is six points ahead of Ferrari's Fernando Alonso.
Team-mate Mark Webber, who finished second to Vettel in the Korean Grand Prix on Sunday to give Red Bull their first one-two finish of the season, is now 63 points adrift of the German with 100 available.
Although not mathematically out of the running, Webber's chances of championship success are hanging by a thread, with logic suggesting Red Bull should fully support Vettel in his bid for a third successive crown.
Horner, however, is to give Webber every opportunity, saying: "Sebastian has moved into the lead and Mark still has a chance of winning this championship.
"I think it would be wrong to impose team orders while Mark still mathematically has a chance of winning.
"They demonstrated in Korea they race each other fairly, and that is all we ask of them."