Liverpool, meanwhile, have not conceded a goal in their last six home games in the league - since West Ham scored against them in February.
"I know that Salah was [thought] a good deal for Roma, but now people say it is a good deal for Liverpool".
The German said: "We know about our expectations and we realise there is a really positive atmosphere around us in the pre-season".
Seconds after coming on Sturridge was in the right place at the back post to knock in a Milner corner with his first touch of the game.
Liverpool now have a full eight days to recover until their second league game of the season against Crystal Palace on August 20.
He's not the best finisher; in fact, that's arguably the only thing Kante can't do, but if he improves that then his natural energy and intelligence of his runs could make him a brilliant attacking midfielder, and even more complete than he already was.
West Ham manager Manuel Pellergini responded by introducing former Manchester United striker Javier Hernandez after the hour mark.
"I am very happy with his performance", said Sarri afterwards.
"If I am asked one day and I am available then I would think about it", he said.
"People are not feeling that way about Manchester United or Tottenham or Chelsea at this moment in time, because of what has happened in pre-season".
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It featured everything we've come to expect from a stellar Liverpool display. To be a Liverpool player you need special qualities as a person, as well as the ability - they have this!
Replays showed that Mane was offside - a rare referee mistake in Liverpool's favour which would ultimately make no difference to the result.
Roberto Pereyra is, like many of Watford's squad, one of those players who you can forget about until he does something spectacular.
But reunited at Liverpool they are set to take a big step forward, and the No. 10 was impressed with his new team-mate's first foray into life in the Premier League.
It has been another summer of transition for the Merseysiders following the disappointment of losing the Champions League final to Real Madrid earlier in the year, with the German overseeing a £177m spending spree.