Cardoso has played just 45 minutes for the Rangers first team since he sustained a broken nose in the Ibrox side’s Betfred Cup semi final loss to Motherwell.
Danny Wilson and Bruno Alves have been the preferred centre back pairing for Graeme Murty while David Bates has been next in the pecking order.
Cardoso, who began his career with Benfica and played 55 times for the club’s ‘B’ team, signed a three-year deal at Ibrox in June 2017.
Cardoso has made 14 appearances for Rangers, including both matches against Progres Niederkorn in the Europa League.
But he may have kicked his last ball for Graeme Murty’s side, according to reports.