Morgan Schneiderlin and Jay Rodriguez are understood to be close to linking-up with former manager Mauricio Pochettino at Tottenham as Southampton's summer sale continues.
After achieving their best ever Barclays Premier League finish last season, the odds on Saints getting relegated this time around are shortening by the day.
The Croatia international followed Rickie Lambert and Adam Lallana in moving to Anfield, while teenage left-back Luke Shaw recently departed for Manchester United.
Those transfers came in the wake of manager Pochettino and his staff leaving for Spurs, where two of his former Saints charges could be plying their trade next term.
Press Association Sport understands Tottenham have stepped up their interest in Schneiderlin and Rodriguez, with the pair edging closer to deals taking them to White Hart Lane.
Reports suggest Saints are asking £27million for midfielder Schneiderlin, who joined the club from Strasbourg in 2008 and played a key role in their rise from League One to the top-flight.
The 24-year-old represented France at this summer's World Cup and has attracted interest from Arsenal, although he is understood to favour a move to Spurs so he can work with Pochettino again.
The former Argentina international is also in for Rodriguez, despite the England forward currently being sidelined by an anterior cruciate ligament injury.
The 24-year-old has been at St Mary's since joining from hometown club Burnley two years ago and made his Three Lions debut in November's friendly against Chile.
Their exits would be another hammer blow to recently-appointed manager Ronald Koeman, who is also expected to sell disruptive club-record signing Dani Osvaldo in the coming weeks.
Work is afoot to bring in replacements but so far only two have arrived, with Dusan Tadic joining from FC Twente before Graziano Pelle arrived from Koeman's former club Feyenoord.