Robinson has made 11 appearances for Liverpool but, with manager Brendan Rodgers having numerous full-back options, he has decided to move on.
"Jack is one for the future. He's a good young player," Redknapp said.
"He'll continue his development at Huddersfield this season in the Championship, where I'm sure he'll do well."
Robinson added: "It was an easy decision for me to come here for a new challenge.
"Hopefully I can do well here and establish myself as a Premier League player in the future."
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