Fabrizio Romano, a transfer market expert, reports that Joe Aribo will go through medical testing soon in order to finalize his transfer to Southampton.
Aribo will join the Saints for a fee of £6 million plus possible add-ons that could total £10 million.
Additionally, the midfielder and the Premier League team have reached a personal agreement.
The Nigerian international, whose contract at Ibrox is about to expire, has declined offers of a new contract.
Southampton signed him before Crystal Palace, Fulham, and Nottingham Forest.
In 59 appearances for Gers in all competitions last season, Aribo amassed 10 goals and nine assists.