The Japanese internationalist suffered an ankle injury in only his second appearance for the club after being on the end of a reckless challenge from Alloa's Mouhamed Niang in the previous round.
The tackle was punished with a yellow card by referee Don Robertson at the time but was later reviewed by the SFA complaince officer who handed out a two-match ban to the Wasps midfielder.
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Hide AdPostecoglou indicated that Ideguchi has recovered and is available for selection with no fresh injury concerns after the 3-2 win over Aberdeen on Wednesday night.


Josip Juranovic, who missed the midweek victory at Pittodrie due to illness, is again expected to miss out against the Fifers but the Celtic head coach is hopeful his Croatian full-back will return for the Europa Conference League tie against Bodo/Glimt on Thursday.
Postecoglou said: "Ideguchi is probably the only significant difference, he is fully training now and available for the game.
"Apart from the long-term ones, Josip Juranovic will probably not be (ready) for Sunday but will be fine for midweek."