Ronald Pfumbidzai is stuck in Zimbabwe and finding it difficult to return to South Africa due to travel restrictions caused by the coronavirus pandemic.
The 25-year-old is believed to have travelled home before the lockdown to nurse a groin injury.
The boarders of South Africa have been closed, causing complications for Eswatini players at Mbombela United too that have since been resolved.
"Pfumbidzai is unable to fly and come back to South Africa, that's the problem," Celtic team manager Lesiba Mothokoa tells snl24.com/kickoff.
"He is still busy trying to see what he can do but the problem is when he comes this side, also he has to quarantine another 14 days.
"But we are trying to see, maybe even if he can come later. But as long as he can be able to come this side, even if he misses these games, but when we start to prepare for next season he can be this side.
"But what I heard is that the PSL are also trying to see what they can do because even Jomo [Sono] raised it in the meeting. They said they will see what they can do even though they are not promising anything, but they will try.
"From our side it's only Pfumbidzai. [Harris] Tchilimbou didn't go home."
Pfumbidzai has made 12 appearances in all competitions this season, with his last match for Siwelele being the 5-3 defeat to Kaizer Chiefs in December last year.
Celtic have a Nedbank Cup semi-final coming up on August 8 or 9 after the PSL confirmed the season will restart with the national cup competition first.