The French forward is thought to be in huge demand, with Manchester United, PSG, Barcelona and Real Madrid all said to be closely monitoring the star.
Following a slow start to the season, Griezmann has scored four goals in his last five games, renewing speculation that he could leave the club in January.
When quizzed about his team-mate's future this week Oblak remained vague, simply saying that Griezmann is an important player to Atletico and that he does not know what the future holds for his team-mate.
'In the future with Griezmann, nobody knows,' explained the Solvenian stopper, after being named Marca's 'Goalkeeper of the 2016-17 season'.
'For now, he is totally committed to us and we see this in matches and training, he is a huge part of this team.
'We want to be fighting for the title at the end of the season and right now we are taking things one game at a time but we are in a much stronger position now than a month ago.'