The Hammers boss has admitted his admiration for the Serbia and Inter midfielder but maintains that he is confident in the depth of his current squad ahead of the new season
The 25-year-old Serbia international spent three-and-a-half seasons with Wolfsburg before joining Inter in January this year, where he has attracted attention for his passing ability.
And Allardyce has admitted that he holds an admiration for the midfielder, while there could be a place for him in the Hammers squad after they allowed Gary O'Neil to leave the club for free this summer.
"He is a player I like, but I know nothing about it so cannot comment," Allardyce told Sky Sports.
The East London side have recruited striker Andy Carroll and left-back Razvan Rat so far this summer and the Hammers boss believes he now has a strong squad at his disposal.
"For the first time in eight years, I have got a good squad together right at the start of pre-season," he said
"Normally I am six or seven short and I have to skimp around to get them in, but not this year. We would like to add to that of course, although it will only be one or two max.
"Position wise, we need an attacking player first and then we will see where we go. At this moment, it depends on the player who is available. It needs to be a quality player who brings a lot to the team for us to go after him."