The 30-year old striker came off the bench to change the direction of the game against Manchester City on Sunday, scoring immediately, and having a very positive influence on proceedings.
The Saints eventually loss 3-2 at Etihad Stadium but the showing of Lambert suggests to Adkins that he can be a real handful for Premier League defenders.
"I think he will grow in confidence, he has played against some real top defenders there and physically he has dealt with that challenge ever so well," Adkins said.
"He gives a dimension to the football team that has served us well over the last few years.
"Obviously the pace of the game now in the Barclays Premier League is there, but he has got a quick brain."
He added: "He scores all types of goals so he will always be a goalscoring threat as long as we keep getting him in and around the areas to do that.
"I think you will only find out if you're good enough when you're given those opportunities.
"I know he has worked very hard on his game and his body."