The London Evening Standard says Sulejmani, who joined Ajax from Heerenveen for a Dutch record £13.5million in 2008, is looking for a move to the Premier League after apparently falling out with manager Martin Jol.
"The clubs and my agent are working on it," said the 21-year-old in Holland. "The coach at West Ham believes in me and wants me as part of his team."
West Ham's new assistant manager, fellow Serb Zeljko Petrovic, could be used to help facilitate a deal. Petrovic was Jol's No2 at Hamburg and Ajax.