Speaking at his pre-match press conference ahead of his side's trip to Chelsea, as reported by the Liverpool Echo, Martinez said there is a little way to go in terms of confirming the transfer.
He told reporters: "Nothing else to comment. An initial approach, but a long gap until official confirmation.
"If there’s a signing to be made, it needs to be the right character, the right addition. In any process there are steps, and some become very long, others are quite short."
Martinez also confirmed that things are agreed with Swansea City in order to allow Steven Naismith to make the move to the Liberty Stadium, but has said the priority is to get the Scot fit and available for action before any move takes place, as he is currently sidelined with a slight knock to his ankle.
"The priority is to see him fit and available, then have a sit down.
"It’s in his hands, to a point, but it has to be in everyone’s interest.
"In the summer, we couldn’t replace him, it wasn’t the right move. Now, it’s in his hands.
He clarified Naismith's position further, saying: "We spoke to another Premier League club, and that deal has been there since January 1. But it’s about sitting down with the player.
This weekend his side travel down to Stamford Bridge to take on Chelsea. Tom Cleverley is rated 50/50 for the clash as he tries to recover from a calf injury, but James McCarthy is ruled out of the side, but has returned to training.