Tottenham believe Cristian Romero has avoided serious injury, but Richarlison is set for a period on the sidelines after the pair limped out of Sunday's win against Aston Villa.
Both Romero and Richarlison were substituted in the second half of a 4-1 victory at Tottenham Hotspur Stadium.
Argentina World Cup winner Romero appeared to hurt his foot in a blow to a Spurs team already missing Micky van de Ven, while Richarlison was injured in creating the third goal for Dominic Solanke.
Neither will feature for Tottenham at Galatasaray in the Europa League on Thursday, but the outlook beyond that is rather more positive for Romero.
"From the weekend, obviously Richy unfortunately injured his hamstring," Ange Postecoglou said. "I'm still getting the final information, but I think he'll be out for a while.
"Romero, I think, is nothing too serious, hopefully. Hopefully, he still has a chance for the weekend [against Ipswich Town]."
Providing a further update on his squad for the Galatasaray match, Postecoglou said: "Timo Werner has been carrying a bit of a groin complaint, which is still there, so he didn't travel, and Mikey Moore picked up a bit of a virus yesterday, so we've left him at home as well.
"I think everyone else who's fit and eligible is here."
Given their injuries, a trip to a talented Galatasaray side might be considered daunting, but Postecoglou is relishing it.
"We're looking forward to it," he said. "It's a fantastic stadium, the supporters create an unbelievable atmosphere here, they love the big European nights.
"They're a very, very good team. It's exactly the kind of games you want to be involved in in Europe. Whether you're young, you're old, irrespective of the role you have, you look forward to it."