Lambert made a dream debut on Wednesday night when he climbed off the bench to head home the winning goal against Scotland with his first touch.
It was the latest chapter in a remarkable rags to riches story for the Southampton striker, who 13 years ago was working in a beetroot factory after being released by Blackpool.
Given that Lambert is a burly 6ft 1in man, many are concerned that England would resort to playing long-ball football if he were selected, but there is much more to his game than his physical side.
Shearer has been impressed with Lambert's all-round game and even though he will be 32 by the time the tournament comes around next season, Shearer thinks the Liverpudlian may well end up in England's World Cup party should they qualify.
"He has given himself a chance (of going to the World Cup)," said Shearer, who scored 30 goals in 63 internationals for England.
"Eighteen months ago I would have said he didn't have any chance, but that's what happens in football, someone's disadvantage can turn out to be someone else's good luck.
"If everyone was fit then he wouldn't have probably got his chance but he has and what he has done is he has put himself in the window. He has made the fans, the manager sit up and take notice of him.
"If he can continue to score goals for Southampton, and there is no reason why he shouldn't because he did last year and the season before, he will give himself a great chance of going to the World Cup."
Shearer knows what it is like to score on debut having broke his duck at the first attempt in a 2-0 win over France in 1992.
He went on to have a successful international career that included appearances at three major tournaments.
While England do not have the same strength in depth up front as they did in Shearer's day, Lambert still has a fight on his hands to maintain his place in Hodgson's squad.
Daniel Sturridge, and possibly Andy Carroll, could return for the crucial qualifiers against Moldova and Ukraine next month, but Shearer thinks Hodgson must select Lambert.
"Even if everyone is fit he should be in the next squad," the former England captain said.
"He should be in there because of what he did the other night and because of the impact he made.
"That is what it should work with England - if you make an impact then you should be rewarded."