Ahead of Saturday's meeting with Fulham at Anfield, Slot was asked about the Scot's announcement yesterday.
He said, "He had many great seasons over here as a player, but I think people got to know him as a great person as well, I got to know him, every teammate will tell you how funny he is and how great a person he is, and that has been shown a lot on social media as well.
"What I remember most about him is the intensity he is always playing with. We have learned something about intensity two days ago, but I can make Robbo making a press from left full-back to right-back a few years ago and I showed that to the players I was working with then.
"He has won everything here, really loves this club, it has been a great nine years at the club.But we saw this season he didn't play as much as he used to and as a result of that he is leaving. It is difficult to be in that position longer than a season. Every player wants as much regular first-team football as possible."
Board support
Meanwhile, Slot was also asked about his own future after another difficult week for the Premier League title holders.
Defeat in the FA Cup at Manchester City was followed by another loss in their Champions League quarter-final first leg at PSG.
Quizzed if he felt the support of the club's owners, the Dutchman said: "I have said many times I feel a lot of support from the owners and from Richard (Hughes, sports director) and Michael (Edwards, technical director) as well, and as weird as it might sound, I also feel the support of the fans.
"When we went for a walk around Paris before the game, even though we'd just lost 4-0 at City, the fans (who saw us) started singing 'We love you, Liverpool'. After we were outplayed for 90 minutes, they were still singing for us at the away end. We have felt that support constantly.
"The club knows the period of time we are in, and in the meantime, I have their complete support."
On the week's double setback, Slot also said: "We haven't given ourselves the best situation we are in. Paris kept us alive, so we are still in that tie. We have seven massive games coming up in the Premier League and hopefully some more in the Champions League."
Fulham challenge
Liverpool meet Fulham, sitting fifth in the table, five points outside the top four. Going into the game, Slot insists he senses some confidence amongst his players from what he saw in defeat at the Parc des Princes.
He continued: "If there might be anything positive from PSG is we faced the champions of Europe and we weren't on our level that night, but in four or five days we can show we are much more competitive.
"But it also shows us if we want to keep improving, we have to play at that level in the Champions League.
"We want to be in it next season to show we can do even better in the competition next season, and to do that we have to improve in the league. Not all of our players are capable of playing another intense game in a few days so let's see what the line-up brings."
Expanding further on the threats of Fulham, Slot was full of praise for his opposite number, Marco Silva.
He said: "They have a manager who has worked a long time with them and you can see their clear structure and clear identity they want to play, mainly with the same players when I've been here.
"We played them last season at home when we got a red card and was probably one of the best games we played that season, twice we were a goal down. This season that game maybe sums up our season. Unbelievable, we didn't win that one when you look at how late we scored - how often do you score in the 94th minute (to go ahead) and then not win?"
Isak's return
One positive from the PSG defeat was Alexander Isak's appearance as a second-half substitute. It was the Swede's first showing since his leg fracture in December.
Slot reflected: "That Alex is available for us again is vital of course. It has been hard for us to convert chances into goals and he's been a goalscorer all his life. To have him back is really nice. It was only 15 minutes, but good to have him back. Hopefully, he can grow to his form as soon as possible.
"The last time, of course, it took him a while, which is normal, but we're hoping after the great rehab period we can bring him faster to the level we want him to be at."
Supporter protests
In conclusion, Slot was also asked about announcements from several official Liverpool supporters' groups of planned protests at Anfield games for the remainder of the season over ticket prices.
Reds fans have been left disappointed by a club announcement of season ticket price increases for the coming three campaigns.
Slot said: "Anfield has shown in history and also in my time here how important these fans are for us. A recent example was Galatasaray where we had a tough game away from home when their fans wer really loud and then Anfield showed what loud really is.
"That is what makes Anfield special. In general, playing at home for every team is very helpful. I've always felt that support when we've been playing in good or bad times. Even though there are protests, I hope the fans can be as helpful as they have been."