The Egypt international was photographed for the feature and was one of six to have a front cover dedicated to him; the others were journalist Gayle King, singer Taylor Swift, actress Sandra Oh, Nancy Pelosi and Dwayne Johnson.
Salah is more than a footballer in Egypt. He has become an ambassador with his achievements and the starring role he has played for Liverpool over the last two years has catapulted him to a new level.
He was the subject of an essay from comedian John Oliver about how he lives his life.
Salah and his team-mate Sadio Mane are both devout Muslims and Klopp believes they are helping break down barriers at a time when intolerance is rife in the world. Liverpool's manager feels the recognition from TIME is a huge accolade.
'He's a role model in so many different things,' said Klopp. 'It's really, really nice to have him, and Sadio as well.
'Both are Muslims and live that, in a world where these things are very often discussed in a dangerous manner, where people think "they are all like this" or "they are all like that".
'We know that's not true, but it is nice to have somebody around full of joy, full of love and to do what he is doing around his religion. 'He's in the middle of the dressing room, he's sensationally good with all the boys and he is very influential for us.
'And if somebody thinks he is influential for the rest of the world as well then good, show it. I don't know exactly when the meeting will be, next week or so. He will go there, because it's an important statement for the world.'
Salah has scored three goals in his last four appearances, propelling Liverpool to the head of the title race and into the Champions League semi-finals.
The atmosphere around the training centre is buoyant but Klopp insists they are not getting carried away.
Liverpool face Cardiff on Sunday and the complexion of that game now looks totally different given that Neil Warnock's side have given themselves a chance of survival, when a few weeks ago they appeared to be dead and buried.
'It's a super group,' said Klopp, whose squad is almost at full strength now that Dejan Lovren has recovered from illness.
'The boys are really close. But the mood and the atmosphere in the dressing room of City and Tottenham, United, Arsenal, Cardiff is really good as well!'It's about how you mix up your potential with attitude. We obviously have a really good football team with good players, and mix it up with a world class attitude and it makes you a difficult team to play. We did that from the first day of the season and so far it worked out.
'We are all aware of the difficulties of Sunday. Cardiff is a team that is used to defending with all they have. Outstanding set-pieces, a lot of physical power which can make life uncomfortable.
'I understand you all want to talk about the positive season but we don't think about that. We don't talk about Porto or Barcelona, we are really in the situation. We can talk after the season, now it's the next challenge which is Cardiff.'