Redmond, who has actually been linked with Liverpool in the past, has signed for the Saints from Norwich City for £11 million.
The 22-year-old’s arrival at St. Mary’s is seen as a direct replacement for the Anfield-bound Mane.
Liverpool are in talks to sign Mane, the 24-year-old Senegal international, in a deal worth £30 million, making him the third most expensive signing for the Reds behind Christian Benteke and Andy Carroll.
Liverpool have reportedly offered £25 million plus £5 million in add-ons, but BBC Sport claim Southampton want nearer £40 million for a player who scored 11 goals in 37 Premier League games last season.
Mane’s move to Merseyside seems inevitable and he’ll become the fifth player to move from St. Mary’s to Anfield since summer 2014, following the arrivals of Rickie Lambert, Adam Lallana, Dejan Lovren and Nathaniel Clyne.