The Latics are currently in 18th place in the Premier League table after a run of six defeats in their last 10 games.
And Martínez says he wants to bolster his ranks in order to add more competition for places at the DW Stadium.
“We are having a few difficulties, especially with injuries, so we have to find a solution,” Martinez said. “We need to make it difficult to get into our starting XI
“So we want to do some business in January. I think it’s important that every transfer window works in your favour and you finish with a stronger squad.
“But I still feel our most important players are already in the squad – they are just injured.”
Get enhanced odds of 18/1 on Andy Murray to win Wimbledon or 10/1 on Novak Djokovic when you open a Paddy Power account.