The Reds know a victory can take them top of the Premier League table before Arsenal's trip to Aston Villa later in the day and Klopp will be hopeful of building on successive wins against Fulham and Sheffield United.
Liverpool travelled to Bramall Lane on Wednesday evening and beat the Blades 2-0 thanks to a first-half effort from Virgil van Dijk and a late second from Dominik Szoboszlai.
However, as seems to be the case in every game recently, there was a shadow over the victory, midfielder Mac Allister being substituted in the second half after a string of firm challenges.
The first knock he took came within just minutes of the whistle, Vinicius Souza stamping on the Argentine's knee. Accidental or not, the Sheffield United midfielder was perhaps fortunate to stay on the pitch and amazingly avoided even a booking.
The challenge required stitches for a nasty cut on Mac Allister's leg, the World Cup winner going down several times throughout the match before eventually being replaced by Curtis Jones just before the hour mark.
Speaking about Mac Allister's availability before the clash with the Eagles this weekend, Klopp made a concerning admission.
"Macca doesn't look good," said the Liverpool boss. "So, we will have to see day-by-day. They [the medical team] were pretty hopeful after the game that it was not that serious, and it's not that serious, but in this period of the year if you're out for five days it's 12 games pretty much.
"So, we have to wait there, how he shows up here today. I don't expect him to be ready for tomorrow [against Palace]. I don't know about Thursday or Sunday after that.
"It's pretty much stop and go, we have to see."
While there was disappointing news regarding Mac Allister's fitness, there was a positive update on Liverpool goalkeeper Alisson's potential return.
An optimistic return date of Manchester United on 17 December had been pencilled in, but it seems the 31-year-old could be back even sooner.
Confirming that Alisson had returned to full first-team training on Thursday, Klopp said: "Alisson looks good. But I don't know if good enough for tomorrow, we'll have to check that with the coaches and the medical department - and with Ali, of course."
With Joel Matip having torn his ACL and set to miss the rest of the season, Mac Allister joins the centre-back on an injury list that also contains Andy Robertson, Diogo Jota, Thiago and Stefan Bajcetic.