Following the completion of the transfer, Redmond has gone on to state that Southampton are the right club for him and added that he will fit in on the south coast without any problems.
The 22-year-old said: "I'm really pleased to have made the move to Southampton.
"It's a fantastic football club with excellent facilities, and I really feel I can develop my game here.
"The club's style of play has always been excellent. They like to play attacking football and it's a style I feel I can really fit in well with.
"When Southampton said they were interested it felt like the right move for me, and I can't wait to get started now."