The Milton Keynes-based outfit have made no secret of their displeasure with the current plight of their engine supplier, Renault, with the days of race wins and World Championships a distant memory.
Instead, Red Bull are struggling in the midfield, with their Renault-powered cars unable to match the likes of Mercedes and Ferrari.
Under this backdrop, Horner and Red Bull advisor Dr Helmut Marko have asserted that the team may leave F1. However, speaking in Monaco last week, Horner indicated that would not be happening.
"Although there is a degree of frustration, we are not thinking of leaving F1," the Briton has been quoted as telling Marca.
It has been suggested by some that Red Bull's troubles are not all down to Renault's shortcomings, but also problems within the team itself. Not surprisingly, Horner does not see it that way.
"We are a team, so we win and lose together, but everyone can see that our big problem at the moment is the engine," he stated.