Peters has been credited by cyclists Sir Chris Hoy and Victoria Pendleton as the man behind their Olympic triumphs.
His impressive list of clients also includes Tour de France winner Bradley Wiggins, former Liverpool striker Craig Bellamy and snooker player Ronnie O’Sullivan. He is juggling his commitments at Melwood with a new role working for UK Athletics.
“I’m not sure if the mental side of the game is more important these days but it’s certainly something that plays a part in how you play,” added Allen.
“I think it’s pretty obvious to see when you have someone on the pitch who is in a good frame of mind. When a player is brimming with confidence you certainly see a difference in his performance.
“You only have to look at some of the people Steve has worked with. It’s something we will utilise and I’m sure he will help us all over the course of the season.”
Liverpool will be chasing a fourth successive win in all competitions when they entertain Aston Villa in the Premier League at Anfield tomorrow. Jose Enrique (hamstring) is the only injury doubt for Rodgers’ side tomorrow.