It was claimed that the player, who has featured five times since arriving from Maccabi Haifa at the end of July for £1.2million, could struggle to be back until early in the New Year.
A statement on the club's website updated Kayal's injury situation and that of several other players.
It read: "Celtic would like to clarify the current injury situation at the club to supporters following some inaccurate reporting in recent days.
"As yet, it's inaccurate to report that Beram Kayal will be out of action for three months.
"The player only underwent investigations on Friday when he had some scans and on Wednesday he will see a specialist in Yorkshire.
"Once the medical team have more information they will be able to get a better guideline until how long he will be out for and decide the best course of treatment.
"Meanwhile, contrary to reports, Niall McGinn has been training and is fighting for a place in the team. He is currently away on international duty.
"Paddy McCourt will return to training after the weekend, along with Thomas Rogne, who had suffered a very slight calf strain. Emilio Izaguirre is also expected to join them.
"James Forrest is making good progress from his ankle injury and the club are hopeful that he will train at some point in the following week.
"The medical team are also hopeful that Charlie Mulgrew will return to training next week following a hamstring strain."