The Algerian winger, who signed from Brentford on deadline day, has been eased in by Moyes since making the move across London.
After making a dramatic impact off the bench against Fulham before the break - setting up Tomas Soucek's eventual winner, but also giving away a penalty in the dying seconds of the game - the clamour for Benrahma to start has only increased.
But with Bowen and Fornals two of the most impressive members of Moyes' squad so far this season, the Hammers boss is not going to rush to any decisions over Benrahma.
"The boys in the team are playing really well, it's not easy to say sorry, we're bring someone else in," said Moyes.
"If you come to the club it's a great thing, it's great competition behind the player and gives the players in the team more reason to perform well.
"So, I think still bringing him in gently, slowly is the best way, and he's been away for a couple of weeks with Algeria so we've not had him on site all the time.
"But I've got to say there's been bits that I've seen from him, he's beginning to have an influence and I can start to see things improving.
"So that's what we want, I want when we bring him on I want them to make a difference and show everybody exactly why we bought him."
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