West Ham United have a number of players on the treatment table at the moment.
The absentees have left Sam Allardyce with limited options from which to select, but Vandenbroucke believes that Alex Song and James Tomkins should be available again soon.
He said: "Alex Song, who is no longer feeling pain and discomfort in his back and was able to return to the training pitch on Monday. After training on an individual basis for one day, Alex returned to the group on Tuesday and is available for selection against Burnley.
"James Tomkins, who trained individually on the pitch on Tuesday as he continues to step up his rehabilitation after surgery on his dislocated shoulder. All things being well, James will return to initial training with the Development Squad next week."
That was where the good news ended, though, with a number of other Hammers stars still some way from completing their respective recoveries.
The likes of Winston Reid, Andy Carroll, Diafra Sakho, Guy Demel and Doneil Henry are all expected to be out for the foreseeable future, with no returns in sight.
"Winston Reid is continuing his rehab after pulling his hamstring in training last week, but unfortunately he will not be fit for selection against Burnley," added Vandenbroucke.
"Andy Carroll, Diafra Sakho, Guy Demel and Doneil Henry are all continuing to work on their individual rehabilitation plans with the medical and sports science staff."
The mounting injury problems at West Ham have made Allardyce's job of stopping their slump even tougher.
The Hammers have won just two of their last 16 matches and, without his strongest team available, Allardyce will have to find a new formula to help his side get back on track.