The former Liveprool man has only managed one Scottish Premiership appearance since September 2016 following a spate of injuries.
The 20-year-old, who was signed by Caixinha's predecessor Mark Warburton, seemed to be fit a little earlier in the campaign but the Portuguese manager confirmed that a knee injury had seen him return to the sidelines.
However, there was very little talk about how long Rossiter - who managed six Europa League appearances at Liverpool prior to his move up North - would be out for in a lack of activity which made Rangers fans fear the worst.
Rossiter, who earns £10,000-a-week according to The Daily Mail, is potentially one of Rangers' best players but he has been unable to stay fit for long enough to show his talent.
But the 46-year-old told The Scottish Sun that the youngster could return as early as next week.
He said: "Maybe next week, Jordan can start training with the team. Niko and Danny started the previous week and will be with us again this week."