The Frenchman has been in fine form for Arsenal this season.
The Frenchman looked likely to play a secondary role in the team this season, with Arsene Wenger electing to start with Theo Walcott up front.
However, an injury to Walcott has seen Giroud come into the side and flourish, with him currently their top goalscorer.
He currently has fourteen goals to his name this year, with nine in the Premier League and five in the Champions League.
Those goals have seen some suggesting he may be the world-class striker the Gunners are always told they need, but Wilkins insists that he is not at that elite level because of one key issue.
“I think he’s ideal and perfect for Arsenal because he’s an alternative, but I don’t think he’s world class,” he told BT Sport.
“For a forward player to be world class you just have to have that little bit of pace about you, and Giroud hasn’t got that.”
While it is easy to say that Giroud is not world class because he is not pacey, his form this season has certainly put him in that bracket.
If he is to get in that upper pantheon, that kind of form will have to become a consistent thing, with performances like his one against Olympiacos a regular occurrence.
Until then, the debate about whether he is world class is sure to be one that will continue to rumble on.