The Red Bull principal Christian Horner has shrugged off speculation about his future and said he is determined to stay on to help the troubled Formula One team resolve their problems.

The Times newspaper reported on Tuesday that one of Horner’s rival principals had called him on Sunday morning, before the Austrian Grand Prix, to commiserate about his supposed departure.

The unidentified team principal had been given the impression that the Austrian Gerhard Berger, a former McLaren and Ferrari driver who is close to Red Bull’s billionaire owner Dietrich Mateschitz, was set to replace the Briton.

“I was shocked,” Horner said. “I had no idea people were talking about me that way. I have a long contract with the team. It is difficult but I had dinner with Dietrich on Saturday evening and we still get along very well.

“We know we have problems but we just have to work through them and I am here to do that job.”

Red Bull, winners of four successive driver and constructor championships between 2010 and 2013, have yet to feature on the podium this season.

The relationship with under-performing engine partners Renault has been stretched to breaking point while Mateschitz has talked of falling out of love with the sport.

At the Austrian Grand Prix, a home race for Red Bull, the team scored just one point after the Australian Daniel Ricciardo and the Russian Daniil Kvyat collected 10-place grid penalties for engine changes. Red Bull are fourth overall.

Horner said changes needed to be made to enable Renault and Honda to close the gap on champions Mercedes and Ferrari while the rules should be simplified.

However, he added that Mateschitz remained supportive of the sport despite the situation.

“He’s telling what he thinks. He ultimately is a fan, that’s why he’s committed so much of Red Bull’s marketing activities to Formula One. The risk for Formula One is when someone like Dietrich starts to fall out of love with it,” said Horner.

“That’s a big worry because we need people like Dietrich to be engaged. He runs a multinational company and Red Bull does not exist because of Formula One ... if Formula One isn’t generating the return and the coverage for him then of course he’s going to raise questions about that.”

Red Bull run two of the 10 teams in Formula One, with Toro Rosso used to develop junior talent such as the 17-year-old Dutch driver Max Verstappen.