The pair are expected to feature in Liverpool's penultimate pre-season friendly against Napoli on Saturday, and Klopp feels both will be back up to full fitness in time to face the Hammers at Anfield next week.
Jurgen Klopp's side suffered defeat to Real Madrid in the Champions League final and two unfortunate blunders from the German goalkeeper played a huge part in defeat.
A group of death wouldn't be ideal for Liverpool, but they had no problem beating Manchester City and Roma last season.
"That's not for us to say, that's for other people to speculate".
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Simon Mignolet will not be a Liverpool player come the end of the summer, but then again, time is ticking on that front.
Origi signed for Liverpool after an impressive World Cup four years ago and is still only 23, but with Liverpool's front three very much set in stone, and Xherdan Shaqiri and Daniel Sturridge ready to step in when called upon, Origi's opportunities would be very limited if he were to stay at Anfield this season.
Bournemouth goalkeeper Asmir Begovic has branded Liverpool's new number one Alisson Becker "world class", and has backed the Brazilian to be a success in the Premier League. Last season they lost against Swansea and drew with fellow-relegated teams West Brom (twice) and Stoke.
"It has been a great day which I had been looking forward to,"Alisson told Liverpool's official website on Tuesday". With Keita, Shaqiri and Fabinho on board, their options in midfield have been bolstered and with Alisson (the most expensive goalkeeper in history) in goal they should eradicate costly errors.