Defender Stones has missed the Toffees' last two games because of a knee injury and was also not involved for England during the international break.
Martinez, quoted on Everton's official website, said on Wednesday with a view to the weekend's contest at Goodison Park: "I think he should be ready.
"Remember that John has been having a lot of quality work at Finch Farm and it will be a matter of just getting that match fitness.
"We have still got three very important days ahead of that fixture in terms of preparation so we'll get a better idea on Friday of where John is.
"I would say medically he is ready now
He's been joining the group and from a medical point of view I don't think there is a concern or worry."
Everton are also set to have Seamus Coleman returning to their team on Saturday.
The full-back, sidelined recently by a hamstring complaint, played his first match in a month when he turned out for the Republic of Ireland against Poland on Sunday.
Source : PA
Source: PA