Albion will still be without Bruno for Millwall's visit tomorrow night.
The Spaniard could, however, be back in contention for Saturday's trip to Blackburn Rovers.
Bruno missed the 0-0 home draw against Nottingham Forest at the weekend with a sore Achilles.
Manager Gus Poyet said: "Bruno is going to be a tough one, because when it's tendonitis in your Achilles it's very difficult to know when you can start training normally.
"We've got a plan and it will take a few days to make sure the surrounding muscles are strong. Until he does a certain amount of sessions he is not going to take a risk, so we will review it every two to three days.
"I am sure everybody wants to play in the game on Saturday, when you go to one of the biggest in the division, with the stadium and the pitch and with the players they've got.
"It's one of the games I suppose you look forward to as soon as the fixtures are out."
Inigo Calderon will continue to deputise for Bruno at right-back against Millwall after recovering from a knock on the knee in the first half against Forest.
Gary Dicker (knee) has yet to resume full training with the squad, so is likely to be sidelined again.
* In tomorrow's Argus Gus Poyet on Chris Wood and contracts, plus Ashley Barnes on his relationship with the fans.