Although the Hammers did most of their business in the summer, Bilic has confirmed that one new player could arrive at Upton Park.
The Croatian boss has also suggested that he may look to trim his squad, with a couple of players likely to depart in the new year.
“We did our job in the summer, I am happy with the team. It’s possible we might get one or offload one or two, nothing major in terms of numbers," he said. "If something exceptional becomes available then you never now. We did our job in the summer and are OK.”
West Ham have made a wonderful start to the season, so it is no surprise that Bilic is exercising caution in the January transfer window.
The last thing the Hammers will want to do is disrupt their current group, even if there is a temptation to spend big, given their position in the table.
West Ham have a chance of claiming a European spot, and are in third place in the Premier League table at the moment, and Bilic clearly is happy with his options.
The Hammers' next match comes this weekend against Watford, and a win could take them to the top of the table, if other results go their way.