The 33-year-old, who has been plagued by knee problems in recent seasons, is currently sidelined by an ankle ailment.
Boss Harry Redknapp therefore remains desperately short of firepower with top scorer Charlie Austin recovering from a shoulder operation, Kevin Doyle struggling with a knee problem and Bobby Zamora still short of fitness following an injury-hit season.
"AJ is not fit, he's got an ankle injury and he's going to see the specialist again," said Redknapp.
"Charlie is out long-term, although he will be back before the end of the season.
"Bobby had a game on Tuesday for the reserves. Kevin tweaked a knee ligament last Saturday and we have to see how it settles down."
It was left to on-loan Manchester United youngster Will Keane to lead Rangers' attack at Brighton on Tuesday night, but the visitors drew another blank as they crashed to a 2-0 defeat.
However, Redknapp added: "Young Will Keane worked hard, he's only a boy and he just needs a goal. I can't fault his effort.
"He'll be okay, he'll be a good player and I'm sure he'll score some goals for us."