The winger's contract with Russian Premier League side Spartak Moscow is set to expire at the end of the season, leaving him free to discuss a move to other clubs, and reports have suggested that the Republic of Ireland international is set for a medical at Goodison Park.
Martinez was unmoved when questioned about a potential deal for the former Celtic man but did confirm that he is close to adding to his squad.
"The situation is [McGeady] is still registered with another football club," the Spaniard told reporters. "I won't disrespect another team. I don't think he's due [for a medical].
"We are close to adding. It's not a matter of rushing things. We know what we want, it's a case of making it happen. We have to make sure we don't bring the wrong personality to the club."
Everton resumes Premier League duties against Norwich City, after defeating QPR 4-0 in the FA Cup third round, with Martinez set to assess several injuries in his squad - including midfielder Ross Barkley, who could miss out because of a toe injury.
"We have got a few doubts but we still have two training sessions before the important game on Saturday," he added. "We are going to assess Sylvain Distin, Phil Jagielka, Leighton Baines and Ross Barkley, who got a knock against QPR. Those four players are the ones that we have got a question mark over.
"Ross had a knock on the toe in his right foot. It's a bit swollen but we are hoping that he is going to be fine for the weekend."