The captain has not figured since sustaining a hamstring injury during the first leg of the last-16 tie in Spain three weeks ago, missing Liverpool’s subsequent fixtures with West Ham United, Watford, Chelsea and Bournemouth.
However, Henderson is closing in on a comeback after joining his teammates in training – and he may be considered for the clash with Diego Simeone’s men.
Elsewhere, Andy Robertson is available having missed Saturday’s win against Bournemouth as a precaution.
Klopp said: “Hendo is ready but what we do with that, I don’t know… or maybe I know and I don’t say!”
Liverpool will continue to be without Alisson Becker for the encounter with Atletico, however, with the goalkeeper also likely to miss Monday’s Merseyside derby against Everton.