Baines has seen his stock rise considerably during the past week
And the Spaniard believes such scrutiny will only intensify the longer the left-back’s contract situation remains unresolved.
Baines has seen his stock rise considerably during the past week after a brace of impressive performances helped England earn a place at next summer’s World Cup finals.
The 28-year-old is in the final two years of his current Goodison deal with talks over a new contract having reached an impasse.
Manchester United, who failed in a bid to sign Baines during the summer, have been touted to renew their interest when the transfer window reopens in January, with other clubs also tracking the defender.
And Martinez said: “You’re not going to stop the rumours and the talk; that comes with a player performing so well. You are always going to get that. So I’m not concerned about that.
“As a manager, the only thing that concerns me is to see Leighton enjoying his football and being consistent with his performances.”
But when asked if the player’s contract could become an issue if not resolved by next summer, Martinez added: “It could be because you don’t want assets to be devalued.
“I’m conscious that we’ll never get away from that debate, the rumours and the speculation but I see that as a compliment.
“No-one would talk about a player who is not playing well or enjoying his football and that’s the last thing I want.
“But we don’t need the money and you can’t replace a player like Leighton Baines so to get an extra £5million, an extra £7m makes no difference.”
Martinez believes Baines is unique due to his effectiveness both in defence and attack, attributes demonstrated during England’s decisive 2-0 win over Poland at Wembley on Tuesday.
“You can look throughout world football and you won’t find many footballers as complete as Leighton,” said the Everton manager.
“You have outstanding attackers but they find it difficult to defend or you’ve got outstanding defenders who find it difficult to get into the final third.
“Then you’ve got players who are good at both but don’t have the dynamism, the energy or the stamina to get up and down. Leighton covers everything.
“He’s someone who can take the free-kicks, in fact all of the dead ball situations with the quality that he has, he gets into the final third with a real threat, his timing and decision making are always really good.
“Defensively he’s as good a left back as you’re going to get and he now brings that sense of experience and maturity in his performances.
“He’s in the peak of his career.”
Martinez, meanwhile, remains positive midfielder Darron Gibson can return this season despite rupturing an anterior cruciate ligament on international duty.
The Republic of Ireland international was carried off on a stretcher in the first half of Tuesday’s match against Kazakhstan and less than 24 hours later the club announced he would have to have an operation on his knee.
However, Martinez insists the 25-year-old’s season is not over and he hopes the midfielder, who has been troubled by a number of injuries over the last 12 months, can return stronger.
“I was watching the game and straight away you could see it was an innocuous incident and that is normally when you pick up really bad injuries,” said the Spaniard.
“I was really fearful of expecting the worst but with the scans on Wednesday we are very positive now.
“It is an ACL but the whole structure of the knee is perfectly fine and it is going to be straightforward surgery.
“I’m looking forward to seeing him back hopefully this season.”