Liverpool haven't been crowned champions of England since 1989/90 and finished 25 points behind City last season.
Sturridge replaced Salah three minutes from time and found himself on the scoresheet with his first touch from close range just 24 seconds later to record Liverpool's 500th victory in the Premier League era.
While the German was pleased with his side's performance, he says the rest of the season will be filled with trials and tribulations.
Klopp has tried to keep a lid on expectations given the gap to City last season despite spending a reported £170 million.
"We can not be anything different than the challenger because we haven't won anything since I came in".
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And Brooks Koepka is the US Open champion back to back years. "I also know he will continue to excel". "Twenty-nine years. Fast conditions on the greens, particularly in the third round, led some players to say the USGA " lost the golf course ".
West Ham for sure will play a good season but they are not United or City, that's how it is. During pre-season I played alongside a variety of different players and we blended really well.
Jürgen Klopp waited a year to bring Naby Keïta to Anfield and given his all-action style of play, Dennis Wise can see why as he praised the midfielder.
Liverpool were beaten 3-1 by Real.
A revelation in his first season at Anfield with 44 goals in all competitions, Salah is now a marked man.
A simple tap-in was the end product of a fine team goal, with Liverpool working the ball out of defence and Keita driving through midfield before releasing Andy Robertson on the left of the area.
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"The freaky exercise sees players tightly packed into a square pitch and needing to complete six passes before scoring in one of four nets, with the emphasis on close control, passing under pressure and winning the ball back as quickly as possible".
Mane doubled the hosts advantage as West Ham switched off on the stroke of half-time. The Brazilian was linked with Barcelona and Real Madrid this summer but has remained at Stamford Bridge under new boss Maurizio Sarri.
Mohamed Salah embraced a young fan during Liverpool's thrilling EPL season opener against West Ham.
Spending the amount of money on the number of new faces that new boss Manuel Pellegrini has, the players were always going to need time to gel and become accustomed to playing with one another.
I know it is only the first game of the season, and yes, it was against a new look West Ham United, but his performance can not be underestimated. The result continued West Ham's awful record at Anfield, which now extends to one win in 46 league games.
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Keita controlled the pace of the game and his incisive passing created plenty of attacking moves, while he offered protection for the back four at the same time.