Dost, 25, made his name in his native Netherlands, scoring 52 goals in 73 games for Heerenveen before making his move to Wolfsburg in 2012.
17 goals in his first two seasons in Germany was hardly a great record for the Dutchman, but this season, Dost has exploded into life.
With 17 goals in just 32 games this term, Dost has been in remarkable goalscoring form, even going on a run of 14 goals in just nine games at the turn of the year.
However, since scoring twice in Wolfsburg's 5-3 win over Werder Bremen at the start of March, Dost has scored just once, and The Mirror believe Wolfsburg are set to land Borussia Monchengladbach striker Max Kruse - leaving Dost to look elswhere.
The report states that Newcastle and Southampton are both interested in landing Dost should he become available this summer, with strikers certainly on their respective shopping lists this summer.
Newcastle brought in Emmanuel Riviere and Facundo Ferreyra to boost their attack last summer, but neither have even scored a goal yet in the Premier League, so more firepower is certainly needed.
Meanwhile, Southampton boss Ronald Koeman will be familiar with Dost from his time managing Feyenoord in the Eredivisie, and with Graziano Pelle having an up-and-down season, he may look to add Dost - another huge target man striker.
The Mirror believe it would cost £8m to prise Dost away from Wolfsburg, so clubs must look into his recent goalscoring drought and figure out just why that happened before forking out £8m to land him this summer.