The Spanish club's sporting director insists the striker is happy to remain at the Vicente Calderon, despite interest from Arsenal
Goal exclusively revealed in December that the 25-year-old, who has scored 19 goals in 17 La Liga appearances, is one of five players on Arsenal's shortlist for the upcoming transfer window.
“Right now, Costa does not think of leaving, he is hooked with Atletico,” Caminero told Marca.
Under the management of Diego Simeone, Atletico have gradually bridged the gap between themselves and city rivals Real and currently sit joint top of La Liga with Barcelona.
“Diego is happy here. He just renewed his contract, demonstrating that he want to stay here,” Caminero continued.
“He knows how this club works, money won't be a problem."
The Copa del Rey holders are through to the last 16 of this season's Champions League to face AC Milan and could be contenders for more silverware this campaign.
Whilst Caminero rules out Costa's departure, the director does believe the club will be busy during next month's transfer window, stating "there will be changes".
However, one area he is not worried about is the goalkeeper situation, with first-choice goalkeeper Thibaut Courtois on loan from Chelsea and Daniel Aranzubia.
He added: “We have three great goalkeepers, two of them on loan. This position is not our worry now.”