What has been described as a 'minor' injury ruled the Brazilian goalkeeper out of the Reds' Champions League defeat at Galatasaray in midweek.
During a press conference on Friday morning, before the team trained, Slot was quizzed on the possibility of Alisson being involved against Spurs.
"I'm hopeful but that's not to say I'm 100 per cent sure," said Slot.
He later added: "[Alisson] felt something when he passed the ball in one of his muscles [on Monday]. But after we checked it, it was so minor that we think it doesn't have to take very long.
"But as always, games follow up so fast that he had to miss the one against Galatasaray, and hopefully he's available and ready for Sunday.
"If not, I'm expecting him – if things go as planned – definitely against Galatasaray."
Giorgi Mamardashvili was Alisson's replacement in goal in Istanbul and made his 12th appearance since arriving from Valencia.
Federico Chiesa should return for the Tottenham meeting at Anfield after not making the trip to Turkiye due to illness.
"I expect he feels better now because he felt unwell the day before the game and I think we're now three or four further ahead," Slot reported.
There is no change on the status of long-term absentees Stefan Bajcetic, Conor Bradley, Wataru Endo, Alexander Isak and Giovanni Leoni.
Rio Ngumoha started the Emirates FA Cup victory at Wolverhampton Wanderers last week but was then an unused substitute versus Galatasaray.
Asked about the 'balancing act' of managing the 17-year-old's minutes, Slot replied: "It's not that we think so far ahead what it would mean for the rest [of his career], but this season we've treated him carefully.
"I think I've said something about that before, that he cannot be too many days in a row on the pitch because of stress fractures players of these ages sometimes have and have had here in this club. Jayden Danns is one of the examples of that.
"But Rio is a player that could start for us. I think I've said a month ago that he would get more playing time and I think we've all seen that; coming in for a longer spell of times, starting against Wolves.
"And he's definitely an option to start in one of the upcoming three games."