Phil Thompson believes the Saints trio would be ideally suited to Jurgen Klopp's side.
But captain Jordan Henderson remains out with a foot injury.
Liverpool ready to pay club-record fee of £50m in signing Manchester City and Arsenal target Virgil van Dijk
Liverpool, City, Chelsea and Everton have been chasing Van Dijk for a while now.
The Blues move seven points clear of Tottenham with victory at Stamford Bridge.
Chelsea vs Southampton, Premier League 2016/17: Where to watch, preview, betting odds and possible XI
FA Cup finalists Chelsea will take on the visiting Southampton on Tuesday (25 April) at Stamford Bridge.
Van Dijk is attracting interest from a host of Premier League clubs.
Romelu Lukaku and Virgil van Dijk are Conte's priority summer transfer targets, according to reports.
Premier League round-up: Crystal Palace edge further away from danger as Sunderland claim rare point.
Southampton vs Manchester City, Premier League 2016/17: Where to watch live, preview, betting odds and possible XI
Southampton have taken 13 points from a possible 18 in their last three games.
Southampton have reportedly put a £55m price tag on van Dijk.
Shaw has been publicly criticised by Jose Mourinho on a number of occasions.
Shaw's commitment and attitude has been questioned by Jose Mourinho.
Chelsea to beat competition from Manchester clubs and Liverpool in signing Southampton star Virgil van Dijk
Manchester City, Manchester United and Everton are also interested in signing Van Dijk.
The 17-year-old previously had a trial spell with Reading.
Former Chelsea star tells IBTimes UK that he is having the best season of his career at St Mary's Stadium.
Spaniard spoke to IBTimes UK following his side's 2-1 defeat at Tottenham.
Italian international forced off in first-half with groin injury.
Goals from Christian Eriksen and Dele Alli give Spurs three points at White Hart Lane.
Tottenham vs Southampton, Premier League 2016/17: Where to watch, preview, betting odds and possible XI
Tottenham hope to continue their good form despite the injury of star man Harry Kane.
Mauricio Pochettino backs Tottenham duo Heung-Min Son and Vincent Janssen to cope without Harry Kane
England international suffered an ankle injury during the 6-0 win over Millwall.
Harry Kane, Erik Lamela and Danny Rose are also ruled out.
Puel also ran the rule over new signing Martin Caceres.
PSG boss Unai Emery is under substantial pressure.
Chairman Ralph Krueger hopeful of keeping EFL Cup runners-up together this summer.
Ander Herrera hopes David De Gea will snub Real Madrid overtures and become Manchester United legend
Spaniard also praised Zlatan Ibrahimovic after striker led United to EFL Cup victory.
Ibrahimovic scored twice as United beat Southampton 3-2 at Wembley.
Zlatan Ibrahimovic scored 87th winner as Jose Mourinho's side clinched EFL Cup final 3-2.
Zlatan Ibrahimovic heads home a dramatic late winner to help Jose Mourinho's side edge Wembley thriller.
Manchester United vs Southampton, EFL Cup final: Where to watch live, preview, betting odds and possible XI
Manchester United are looking to win the league Cup for the fifth time.
Wayne Rooney is in contention for the showcase final at Wembley after injury and illness