Henrik Larsson claims the current Manchester United team cannot be classed as a great side until they start landing the game's biggest prizes.
United have not won the Barclays Premiership since 2003, since when Arsenal and Chelsea, twice, have claimed the top domestic honour.
Yet they are leaders by six points with 11 league matches remaining this season, and strongly favoured to deny Chelsea a hat-trick of titles.
Former Celtic frontman Larsson's short-term contract at Old Trafford expires next month, and it remains to be seen whether it can be extended.
If not, United will be chasing their place in the history books without the 35-year-old Swede.
'To become a great team you need to win trophies,' said Larsson.
'When I look at this team and squad, they have a lot of talent. They have players who have been there and done it - Giggsy (Ryan Giggs), Scholesy (Paul Scholes), (Gary) Neville. They know what it takes. Then there are the younger guys who really want to make their mark on football by winning trophies.
'They have had some great teams here already, but the future will tell if the current side will be a great team or not.'
Larsson told The Herald his strike partnership with Wayne Rooney at United reminds him of the understanding he had with Chris Sutton at Celtic.
'I have always said that it is easier to play with great players,' said Larsson.
'If you look at me and Chris Sutton, for example, we had a good understanding when we played together at Celtic.
'It's the same with me and Wayne. When I don't have the ball I just try and make myself available and hope that he sees me. More often than not, he does.'