Lage sanctioned a loan move for Fabio Silva, while Raul Jimenez picked up an injury in pre-season, which has left the Portuguese manager extremely short of options up front.
Attacking reinforcements were always going to be necessary this summer after Wolves managed just 38 goals in the Premier League last season, the fewest of any side to remain in the top flight.
So far, Lage has added Valencia winger Goncalo Guedes to his side, but with just a few weeks of the transfer window remaining, they still look extremely short up front.
Adams enjoyed a prolific spell in the Championship with Birmingham City, scoring 22 goals in the 2018/19 campaign before his move to the Premier League.
Since then, he has made 110 appearances for the Saints, in which he has managed just 21 goals and 12 assists for Ralph Hasenhuttl’s side, including seven goals in the top flight last season.
While his goalscoring form hasn’t been the best in recent seasons, the Scottish forward would add energy and physicality to Lage’s attack, evidenced by Hasenhuttl keeping his faith in the forward when he struggled to break his goalscoring duck in his debut campaign at St Mary’s.
He said: “He is a guy who is one day a little bit frustrated when he sees he doesn’t play but then when the game comes, he shows up immediately and this is fantastic.
The Austrian also described him as a “role model”, suggesting that he had gone from “zero to hero” when he did eventually find the net.
Given Wolves’ need for strikers, Adams would represent a solid, experienced Premier League option for Lage, and the Portuguese manager should definitely consider bringing him to Molineux as their fourth signing of the window this summer.