The 24-year-old Senegal international has been in impressive form since joining the Hammers from French club Metz in the summer transfer window.
In nine Premier League appearances so far this season, Sakho has scored seven goals and created six chances, while having a pass accuracy of 57% and a shot accuracy of 44%.
Allardyce has now claimed that the striker could go on to become as brilliant as Nicolas Anelka, Michael Owen and Mark Viduka.
“I think Nicolas Anelka, Michael Owen and Mark Viduka are (as clinical as Sakho),” The Daily Mail quotes Allardyce as saying. “He will eventually be (as good as them). The way he is going he will get there.
“He is learning all the time. He is a terrific lad with a great attitude and he has the desire to be successful as a footballer and goalscorer.”
Allardyce’s comments about Sakho are bold, and many are going to be sceptical. After all, the 24-year-old has only now come to the fore.
Anelka (Arsenal, Manchester City), Owen (Manchester United, Liverpool) and Viduka (Leeds United, Newcastle) are three of the most lethal strikers to have played in the Premier League.
Claiming that Sakho could be as good as them after a few months is a massive statement. Perhaps Allardyce is right - after all, he works with the Senegalese every day - but his words could come back to haunt him.