Also being watched are Roque Santa Cruz, Vince Grella and David Dunn.
Sam Allardyce told Setanta Sports: "[Robinson and Brown] are not 100 percent yet, but we hope that by Wednesday at least one will be fit to play.
"We do have Mark Bunn as well and he's had three games for Leicester recently so he's had some very good practice if we need to call on him.
"So we'll see how that situation pans out in the 24 hours and it could be any one of those three that starts against Fulham."
"David Dunn is still struggling with an Achilles," Allardyce added.
"Roque Santa Cruz has a little bit of a problem with a patella tendon in the knee and Vince Grella is out with a groin strain."