Baines, who was the subject of intense interest from Manchester United this summer, has 20 months left on his current contract and talks about renewing terms have yet to begin.
"As a manager, the only thing that concerns me is to see Leighton enjoying his football and being consistent with his performances," said Martinez. "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. All I want is Leighton to be proud of being an Everton footballer, carry on enjoying his football and carry on performing in the manner that he's been doing. That's the only thing I want."
For breaking stories and all the great banter like us on Facebook: facebook.com/tribalfootball