Roma owner James Palotta has been forced to go public and deny Alisson's move to Real Madrid is imminent.
The Brazilian goalkeeper has been linked with a move away from Italy this summer, with Liverpool keen observers over the past year.
But the club informed the player's representatives earlier this year to not expect a bid, seemingly paving the way for Real Madrid to make their move.
Palotta had been quoted confirming the move - at a price of 78million euros (£68.1m) - but has now moved to deny those suggestions.
“I have read with much amusement the quotes attributed to me about the transfer market," he said. "In fact I was joking around with a group of guys and responded sarcastically with a reference to the popular rumors on Twitter and in the papers since I’ve been in Italy.
"There was nothing serious about anything I said whilst making pizza. Just stupid American humor that some don’t get.”
Alisson is still expected to join Real Madrid, although fresh claims have cast slight doubt over the move.
Reports in Spain claimed journalists spoke with Real president Florentino Perez, in private, after he unveiled new coach Julen Lopetegui on Thursday.
According to @MadridSportsEs, Perez laughed off Alisson's price tag and said he could join Liverpool for 78million euros.
"There will be a few (transfers) but little and special," he is quoted as saying. "They talk today about Alisson but for 78million euros Liverpool can buy him (laughs).
On the Champions League final, he was also reported as saying: "The concussion, people say a lot of nonsense, but they pushed (Sergio) Ramos before and they hit him."