That is according to La Liga expert Guillem Balague.
Manchester United tried to sign Griezmann last summer, but he ended up committing his long-term future to Atletico Madrid.
Griezmann’s form this campaign has nosedived and he has managed just five goals in Spain’s top flight.
Liverpool meanwhile, have been fabulous going forward this term.
The front three of Sadio Mane, Roberto Firmino and Mohamed Salah have been electric in front of goal this term, as the Reds have scored 33 times in the league.
While Jurgen Klopp will no doubt further look to strengthen over the next two windows, Balague is convinced Griezmann won’t be targeted.
“Griezmann is thinking of different things,” Balague told Sky Sports.
“Liverpool have to prove they are genuine title contenders again to be able to attract the likes of Griezmann.
“I don’t think Liverpool are on Griezmann’s radar at this moment in time.”
Liverpool meanwhile, who are back up to fourth in the table, face Spartak Moscow in their final Champions League group game tomorrow (7.45pm).
After that, they take on Merseyside rivals Everton on Sunday (2.15pm).