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 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.
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 hope to continue their good form despite the injury of star man 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.
Spaniard also praised Zlatan Ibrahimovic after striker led United to EFL Cup victory.
Ibrahimovic scored twice as United beat Southampton 3-2 at Wembley.