The club confirmed problems with an upgrade to the Copland Stand where a new wheelchair-accesible section is being created and a new cantilever constructed with almost 1,000 new seats.
Delays with imported steel from Asia have caused the problems.
In a statement on Thursday the club confirmed: “Rangers has recently been advised of a delay in a materials shipment from Asia which is likely to have an impact on the programme for the completion of the Copland Stand works.
“It is therefore expected, unfortunately, that there will be an impact on matches at Ibrox at the beginning of the 2024/25 competitive season.
“The club has engaged with the SPFL and UEFA in order to review planned contingency arrangements. Naturally, everyone at Rangers is deeply disappointed with this news.
“The club is working intensively to ensure that all steps are taken to deliver the project at the earliest possible date and a further progress update will be issued to supporters in due course.”