The Liverpool boss revealed that the issue is nothing serious and while Lallana is expected to miss the upcoming matches against Tottenham, Paris Saint-Germain and Southampton, Klopp hopes to have him back the following week.
"It's a run of fixtures that could shape Liverpool's season", adds Aldridge.
Klopp's men play away on Saturday against Tottenham who had nine players involved on the final weekend of the World Cup, less than a month before the start of their Premier League campaign.
"I think you should go for all competitions", he said.
The global break probably came at the right time for Tottenham as they prepare for the start of the Champions League.
"Now with the Nations League, global managers can not rest players because it is a proper competition".
It's not often that you will be able to back Spurs to win a home Premier League game at odds of [3.1], but if you fancy the hosts to take the three points, that's exactly the price you will get here.
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The Argentinian said: "He needs to provide the team with his best, but maybe in the circumstances we are like a team, or when he plays with England it's maybe not the best conditions for a striker to give the best".
"Only we need to try, that he understands, and how he understands that it was a mistake".
"To focus on one competition can only be if you are out, or almost out, or if it's late in the season".
"Sitting in an office talking about football is different to doing the job".
Unlike Spurs' England contingent, Klopp has bedded captain Jordan Henderson slowly back into action, while Mohamed Salah and Sadio Mane's early exits in Russian Federation with Egypt and Senegal meant they had a few weeks of pre-season training.
"Actually I don't like to compare players but we had similar players and questions about Robbo (Andrew Robertson) and Alex Oxlade-Chamberlain", he said. "It's our fifth season at Tottenham and if someone knows him really well I think we do".