Shearer, in the Sun, said: "Harry will be eyeing up Wayne Rooney's England record of 53 goals and given he is still only 26 years old, he has every chance of breaking it. Harry could have another six or seven years playing for England... and he is going to get plenty of chances, especially because he is playing alongside Raheem Sterling".
Gareth Southgate believes England's attacking options are as "exciting" as any line-up in world football.
"We might freshen the team a bit, I think that would be important", Southgate revealed on the eve of the first meeting between the two nations.
England are expected to maintain their flawless start to Euro 2020 qualifying when they face Kosovo, the world's 120th-ranked team, at St Mary's on Tuesday.
Asked if this would be England's toughest game to date, Southgate replied: "Yes, absolutely".
Kosovo's players and coaches were furious but the goal stood.
Bernard Challandes' side pressed ferociously from the first whistle and it did not take them long to force an error from Everton defender Keane.
"You need to have players on the field to affect the games, but you need to have players that can come in and have an impact and I think we're in a healthy position".
"So, without wishing to create a load of fuss the day before the game, I think it's safe to say we won't be dropping him tomorrow, but his level of performance is consistently so high it would be a rare occurrence".
England fell behind in the opening minute but came back to defeat Kosovo in an eight-goal thriller at St Mary's Stadium. It's hard because there are so many new countries now and so many countries to involve in the process, but we've got to do the right thing for the supporters as well. With John Stones expected to be fit for England's next fixtures Keane will likely drop out of the team, partly due to his latest mistake.
"We know it'll be a very tough game". Continuing that run over Kosovo, the team now occupying second spot, would give Southgate's side control of the group ahead of an away double-header against the Czech Republic and Bulgaria next month.
"So, we're expecting a different sort of challenge to Saturday but one that we're looking forward to".