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Winger Yokota is expected to be back by end of November while he continues rehabilitation.
Ross McCrorie is further ahead and could return next week, at the beginning of the international break.
Cammy Devlin and Lawrence Shankland are targeting a return during the first week of December. They are facing a race against time for the League Cup final.
Rangers boss Derek McInnes said their chances of making the Hampden match were: “maybe”.
Badredine Bouanani has reported illness as a bug continues through the squad. However, expected to be fine for the weekend.
Bouanani is due back on Thursday and should train on Friday. Rangers face St Mirren against on Saturday night.
Emmanuel Fernandez is expected to be available after an ankle problem during Rangers’ win over Aberdeen at Hampden.
The defender’s ankle was described as “a bit of a mess” after Saturday’s match. Fernandez is due to train on Thursday and is expected to be fit for the trip to Paisley.
Yokota’s progress offers encouragement to McInnes, with the winger potentially only weeks away from his return.