Mourinho was dismissed from his Spurs post at the start of this week after the club’s descent from top of the Premier League to seventh place.
Celtic, of course, remain manager-less around two months on from Neil Lennon’s resignation in February.
Is Mourinho a Howe alternative?
Former Bournemouth boss Eddie Howe is believed to be the frontrunner for the position.
But if they can’t reach an agreement with the Englishman, the Hoops may launch an audacious move for three-time Premier League winner Mourinho.
Mourinho famously faced off with Martin O’Neill’s Celtic in the 2003 UEFA Cup final in Seville and led his Porto side to a 3-2 victory after extra time.
Record Sport relayed Castle’s claims, and here’s how Celtic fans reacted.
Celtic fans weigh in on Mourinho links
“Interesting to see what he says when we give him a toaster and a bag of magic beans for a transfer kitty instead of the millions he’s used to”
“What’s frustrating about this story if true is that Celtic really aren’t that far down the line when it comes to announcing a manager despite being manager-less for 2 months now.”
“Aye am sure the prospect of JK and the laptop as his assistants, being told which players he will sign and the fact we will lose half our first team will have him chapping at the bit to commit his long term future to us”
“It just gets more ridiculous by the day. Fuelled by the Celtic board’s silence.”
“Please tell me this is a wind-up. Apart from anything else it means #CelticFC are long way from appointing Head Coach/Manager.”
“Noooooooooooo!! Remember 2003!!”