The Toffees have been rocked by the news that Arouna Kone and Darron Gibson are facing lengthy spells on the sidelines.
Both men are nursing serious knee problems and are expected to miss the majority of the season as a result.
Their absence has left Martinez short on options and he admits he will explore the transfer market for possible striking and midfield additions when the window re-opens.
He said in the Liverpool Echo: "Arouna and Darron are two unexpected absences and we need to be as strong as we can be in the final third of the season, so we'll have to look into it.
"We're always looking, and in January we'll have to see where we are.
"What's important though is we never bring in players for the sake of it."
Martinez is prepared to promote from within if required, with there little point in blocking the path of promising youngsters with stop-gap solutions.
He added: "It won't be a case of getting someone just to make up the numbers.
"If we find the right players we'll look into it, but if not I will look at the U21s and younger players here and make sure someone steps up because I've been impressed in that regard and it's important we keep that in mind."