The Senegal international has scored 21 times this season, which is two behind team-mate Mohamed Salah.
Rush, Liverpool’s record goalscorer, believes Mane should be in the conversation.
“It’s been very difficult. I am biased as I like strikers and I think Mane has been fantastic,” he told the PA news agency.
“People say Salah hasn’t been as good as he has been and we all know that but he’s still our top goalscorer.
“It just shows how good he was when he scored those 43 goals (in his maiden campaign at the club three years ago).
“People are judging him on that and that was an incredible season and you are not going to get that again.
“He is still doing a great job but Mane seems to have upped his game this season.”
Back-up forwards Alex Oxlade-Chamberlain – although he has also mainly been deployed in midfield, Divock Origi, Xherdan Shaqiri and January signing Takumi Minamino have contributed just 13 goals between them.
Klopp was interested in RB Leipzig striker Timo Werner but withdrew when the price became too high and he signed for Chelsea.
The Reds boss has sought to manage expectations for the summer transfer window after the impact and uncertainty of the coronavirus pandemic.
Rush, however, is backing the manager and his recruitment team and believes there are a number of youngsters who have had first-team experience this season who could be given a chance.
“Werner is a great player and people said they should have got him but there is a reason they didn’t get him,” he added.
“Liverpool have their principles and everyone wants to play for them but at the end of the day they have to be the right player.
“Look at the front three. Is someone going to come to play second-fiddle to them because I’d be surprised if anyone would get in front of those three?
“If you look at the defence the two full-backs are fantastic and you have (Joe) Gomez and Van Dijk. The midfield is fantastic.
“But it’s difficult because if you’re going to play £80million for someone you expect to start the season with them.”