Leeds United are already said to be making moves to sign a replacement as they brace for Burnley's approach.
After scraping to survival last season, Burnley have lost key men and risk struggling in the Premier League in the coming campaign.
Everton and West Ham United have both been chasing Burnley forward Andre Gray this summer.
Burnley boss Sean Dyche has confirmed that Tendayi Darikwa is closing in on a move away amid links with Nottingham Forest.
Charlie Taylor has left Leeds United for Burnley in the summer transfer window.
The Swansea City man is known to Sean Dyche and has played for Burnley twice before.
Following the expiration of his contract at Burnley, who wanted to keep him, the former Peterborough United man signed for Wednesday.
Burnley should be tracking Shane Long this summer - as the forward looks to impress Mauricio Pellegrino after a disappointing season with Southampton last year.
Burnley boss Sean Dyche has £30 million from the sale of Michael Keane to Everton burning a hole in his pocket and should spend it at West Ham United.
Assombalonga was signed for MacAnthony's Peterborough before moving onto Nottingham Forest in 2014.