Barkley has been inspirational for the Toffees this season and has also been tipped for a surprise call up to the England squad for the World Cup this summer.
A number of big clubs are said to be monitoring the situation with Barkley and his contract including Manchester United, Manchester City and Barcelona.
Martinez is planning on rewarding Barkley with a bumper new contract and he may have to do so sooner rather than later to avoid the youngster’s head being turned.
“I’m really, really pleased the way he’s putting himself up for the games and he wants to be ready, but Ross is going to be vital for us in this final third,” Martinez said.
“We need to make sure that we use him wisely and we use him always 100 per cent.
“Everything is still the same behind the scenes. As we mentioned it’s always the case.
“We’ll always reward the players that deserve it and obviously Ross is one of those.”