Lallana had missed the last five games after picking up a thigh injury on duty with England in March, but returned to training at the end of last week.
Meanwhile, Sturridge sat out of Sunday’s 2-1 loss to Crystal Palace with a recurrence of a previous hip problem, and their absence was certainly felt.
But speaking ahead of the Reds’ trip to Vicarage Road, Klopp revealed that Lallana and Sturridge were both back in full training.
However, he admitted that captain Jordan Henderson (foot) is still out.
“Adam is back in team training today for the first time. Very, very good news,” he told reporters at Melwood.
“Hendo is not on the pitch so far, nothing new to say about that.
“Daniel is in team training today too, that’s good. Now we have to train with the boys, see how they are, what shape they are and see what we can do with them.”
Given Liverpool don’t play until Monday night, this could be seen as an advantage in terms of Lallana and Sturridge proving their fitness, as Klopp continued to discuss.
“[Today is] a very important session, Adam involved, Daniel involved,” he added.
“To make them as match fit as possible is one of our targets for this week.”
Their involvement will be a major boost to the Reds, as they push for a top-four finish in the Premier League.