The Spanish boss has already secured a deal for Kansas City midfielder Roger Espinoza, who will join up with the Latics in January, but is looking for further reinforcements.
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“We are having a few difficulties, especially with injuries, so we have to find a solution,” Martinez told reporters.
“We need to make it difficult to get into our starting 11.
“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.”
The Latics have lost five of their last seven Premier League matches and have dropped into the relegation zone despite a promising start to the campaign.
“Our start to the season was the best we have had in the four years that I have been in charge,” Martinez added.
“But we have not got the points we should have done since then and that is something we have to put right.”