Prodromou has signed a deal to join McLaren when his current deal with Red Bull ends, and there had been some suggestions that he could make an early switch.
However, Red Bull team principal Christian Horner is adamant that the team expects Prodromou to not only stay at the team, but also continue working on its Formula 1 efforts.
"Peter is a valued member of the team," said Horner.
"He is making a valuable contribution, and we have got tremendous strength in depth.
"The content of any contract obviously is confidential, but the duration of his contract runs for quite a while yet.
"We are certainly in no rush to release him early and he will be with the team until the end of his existing agreement."
When asked if it was possible he would be tasked with direct work on the team's car until the day he leaves, Horner said: "That is what he did with McLaren before he came to us..."
McLaren team principal Martin Whitmarsh conceded that a final decision on when Prodromou joined his outfit was in Red Bull's hands.
"He has a contract and he will be working for us in the future," said Whitmarsh.
"Currently he is employed by Red Bull and we have to respect that.
"So that is why we are not talking about time frames or anything.
"It is for Red Bull to discuss. It is not in my power."