The Reds beat the Blues 4-1 at Anfield, with Nunez hitting the woodwork a Premier League record four times, missing a penalty and supplying an assist in an all-action performance.
Despite his inability to get on the scoresheet himself, the Uruguayan was incredibly influential for Klopp's side once again, but didn't come away from the clash with Chelsea unscathed.
In his recent pre-match press conference ahead of the Arsenal game, Klopp suggested that Nunez is a doubt for the trip to the Emirates Stadium after his foot was trod on against the Blues.
The 56-year-old stated: "A little side story, I don't know if Darwin is available. After 20 minutes [someone] stood on his foot. He left the stadium in a boot.
"Nothing broken, x-ray clear. But swollen. We have to see if his foot can get back in a boot! I've not seen him yet so we'll see."
The 24-year-old would be a huge miss in what could prove a decisive clash on Sunday, Liverpool desperate to send a message at the top of the table with a second win at the Emirates this season.
The Reds beat the Gunners 2-0 in the FA Cup third round at the start of 2024, but could only manage a 1-1 draw at Anfield in the Premier League before Christmas.
Nunez proved a handful in Liverpool's last trip to north London and supporters will be keeping their fingers crossed that he's available in some capacity, especially given that Mohamed Salah is still sidelined.
Speaking about Nunez's performance against Chelsea and his wastefulness, Klopp added: "It does impact him [missing chances], he's a human being. But he knows he'll get another chance. The penalty miss, that hit.
"I don't judge Darwin because of the crossbar moments, I judge him for the assist for Lucho [Diaz]."
Nunez now has 11 goals and 11 assists in all competitions this season, a significantly better tally than he enjoyed in the entirety of the previous campaign.