The only circumstances in which the Nou Camp club would consider selling them is if an irresistible offer arrives before the window closes.
However, with a number of potential European suitors suffering financial restraints, this is judged to be unlikely.
Koeman has been pleased with Griezmann's attitude and application during pre-season, especially noting how he gave up a penalty so Memphis Depay could score on debut in last week's 3-1 friendly win over Girona.
Coutinho, meanwhile, is working his way back to full fitness after suffering a meniscus injury in his left knee last December that forced him to miss the second half of the season.
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