Hasselbaink applied for the Black Cats job before Phil Parkinson took over at the League One outfit.
Eddie Nketiah and Patrick Bamford are the two main strikers for Leeds United.
Hasselbaink used to play alongside Lampard and Terry - who will be contesting the Championship playoff final - at Chelsea.
Leeds United were beaten 4-2 by Derby County at Elland Road last night.
The Blues legend talked about the Hammers midfielder while in discussion over the PFA Premier League Team of the Year.
Keith Andrews (ex-WBA) and Jimmy Floyd Hasselbaink (ex-Leeds) spoke after the Baggies lost 4-0 against the Whites.
Marcelo Bielsa’s Leeds United will face Middlesbrough this afternoon, while Jimmy Floyd Hasselbaink has backed West Bromwich Albion to win automatic promotion to the Premier League.
The former Whites striker left Elland Road for Atletico Madrid in 1999 and, 20 years on, he has given his side of the story.
Leeds United have invited Jimmy Floyd Hasselbaink to observe Marcelo Bielsa's training sessions at Thorp Arch.
The former Leeds United striker is a big fan of the current setup at Elland Road.
Ben White is on a season-long loan at Leeds United from Premier League side Brighton and Hove Albion.
Liverpool are reportedly joining the race for Ricky-Jade Jones.
Arsenal are said to be keen on Nuno, with the board impressed by the job he has done at Wolverhampton Wanderers.
The Leeds United fans loved to see their striker winding up the Reading fans on Tuesday.
Liverpool's 2005 Champions League winning manager Rafa Benitez is being touted with the Everton job.
Tottenham Hotspur boss Jose Mourinho has taken over from Maurizio Pochettino's Father at the North London club.
Rafa Benitez led Everton's bitter rivals Liverpool to Champions League success - but could he make a shock return to the Premier League with The Toffees?
Liverpool had a VAR decision go in their favour on Saturday, but it was the right call.
Everton owner Farhad Moshiri is said to be a fan of Bournemouth boss Eddie Howe.
The German attacker has long been linked with a move to Liverpool.
The former Queens Park Rangers and Wolverhampton Wanderers bosses are the early contenders to replace Coyle at Blackburn Rovers.
Queens Park Rangers travel to Nottingham Forest in need of three points from a clash of two of the Championship's strugglers. We preview QPR's predicted line-up.
As Queens Park Rangers continue to linger in the Championship’s bottom half, could Jimmy Floyd Hasselbaink's job be in danger?