Martinez remains wary of playing Moses too much too soon, but acknowledged the former Crystal Palace forward is making swift progress.
"He feels that he has always been playing at this level," Martinez said. "He is full of enthusiasm and has huge belief in his talent and that gives you a great option going forward.
"I have always said that we need to be patient in terms of giving him the right time and moment to feel himself. But every day he grows and matures and it shows.
"Every time he has been on the pitch he has shown something different. I felt when he came on against Birmingham, he had a real impact.
"He showed the influence he can have on the game and that's a great sign for a young player adapting to the Premier League.
"The quality he has got is going to be a huge strength for ourselves."