The duo were forced to withdraw from their respective national team squads with England and Switzerland due to fitness issues.
Earlier this week, Jürgen Klopp confirmed to Liverpoolfc.com Alexander-Arnold and Shaqiri were still undergoing rehabilitation work at Melwood.
However, the manager revealed during his pre-Tottenham Hotspur press conference on Friday afternoon the pair were again training with their teammates, along with Joe Gomez.
Klopp said: “Yesterday they were all in training, for all three pretty much the first full session, so we have to see how they react.
“There was actually no alternative for Shaq and Trent, not being involved in the games in that period. Anything else would have been really crazy because they needed that, they needed treatment, needed rehab and all that stuff.
“Joe was back yesterday after 15 weeks, what a long time, but yesterday it looked really good. Of course, it’s early stages and he is really now adapting again to proper football training after having thousands of rehab sessions.
“They should all be OK, I heard nothing different this morning since I’ve been here, so they should be OK. They will train again today and then we will see.”