Celtic will face Hibs at Celtic Park on Monday night despite 13 players being forced into self-isolation.
And they will also be without manager Neil Lennon and assistant boss John Kennedy after both were also told to isolate following the Dubai trip.
The club have confirmed that injured defender Christopher Jullien was the player who tested positive and reiterated that they had been following Covid-19 protocols.
Despite widespread criticism of their controversial trip to Dubai, Celtic insist they have done everything they can to ensure safety and insist the positive test could have happened if they remained in Scotland.
A statement from the club said: "Celtic Football Club confirmed today that Christopher Jullien has tested positive for Covid-19 and is self-isolating at home. We wish Christopher a speedy recovery.
"While all of the other members of the squad and backroom team have tested negative, we have been informed by the authorities that, having been deemed ‘close contacts’, Celtic manager Neil Lennon, assistant John Kennedy and 13 first-team players will be required to self-isolate on a precautionary basis as required by the current regulations.
"The club would like to thank the Scottish FA, JRG and the Scottish Government for their assistance in managing this case. Celtic will, of course, fulfill its fixture against Hibernian this evening.
"Clearly we are hugely disappointed, as we know our supporters will be. The contacts were identified during the period from Wednesday last week, primarily around flight and team coach travel, during which time Celtic applied the same rigorous protocols used for pre-season training camps, UEFA match travel and for all domestic match arrangements in Scotland.
"These protocols have served us well in the past, as the club has not had one positive case in our own ‘bubble’ until now. As we have already stated, Celtic’s decision to travel to Dubai for a training camp was for performance reasons. Whilst we were in Dubai, the announcements made on January 4 significantly changed the COVID landscape.
"The reality is that a case could well have occurred had the team remained in Scotland, as other cases have done in Scottish football and across UK sport in the past week.
"Celtic has done everything it can to ensure we have in place the very best procedures and protocols. From the outset of the pandemic, Celtic has worked closely with the Scottish Government and Scottish football and we will continue to do so."
