Raikkonen, 33, has been linked to the team for 2014.
Long time Red Bull driver Mark Webber announced in Britain that he would be leaving the team at the end of the season.
“It’s true,” Robertson told Autosport. “Kimi will not be driving for Red Bull in 2014. We held some talks, but a deal will not be happening.”
German media reported over the weekend that Daniel Ricciardo will replace Webber next season, with an announcement due in Belgium.
With Raikkonen out of the running for the Red Bull seat, Ricciardo’s promotion from Toro Rosso now appears to be a formality.
Raikkonen has driven for Lotus since the start of 2012.
The Finn’s contract with the team expires at the end of this year, with rumours continuing to link the 2007 world champion to his former team, Ferrari.
Robertson also added that Raikkonen’s options are open.
“We are pretty confident that Kimi will be in F1 next year. There are options – and that is plural – out there and I will continue to talk to teams. I am hopeful we will sort something out in the not too distant future.”