The Reds forward scored four goals in Liverpool FC’s emphatic 5-0 win over Watford at Vicarage Road in the Premier League last weekend.
Salah’s four-goal haul took his tally to 36 goals in all competitions this season despite playing just 40 games for the Reds.
The Liverpool FC forward is on course to finish with the Premier League’s golden boot following a return of 28 goals in 30 top-flight outings.
The Merseyside outfit still have seven games to play in the Premier League this term, while Salah will be hoping to fire Liverpool FC to victory over Manchester City in the Champions League quarter-finals.
The retired Wales international netted 47 times to help 1983-84 to help Liverpool FC win the European Cup, First Division and League Cup treble.
Former Liverpool FC striker Rush believes Salah could surpass his record tally with a minimum of nine games remaining in the Egyptian’s club season.
“The 47 goals is difficult and I thought that might stay but the way Salah is playing now anything can happen. I think it is realistic,” Rush told ESPN.
“It is fantastic and he couldn’t have done any more.
“I watched him against Watford [when Salah scored four] and it is the best I’ve seen him play.
“For someone to score 47 goals would be an amazing feat and he is capable of doing it if we can get a good run in the Champions League – when I scored 47 goals we won the European Cup so it does need that little bit longer.
“We won three trophies that season and that’s what we’ve got to start doing now.”
Liverpool FC signed Salah in a £39m deal from Serie A giants AS Roma in the 2017 summer transfer window.
The Reds were 5-0 aggregate winners against FC Porto in the Champions League round of 16.
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