The Giallorossi chief had dismissed reports regarding a move for the Uruguayan and stressed that his club are still in the race for a Champions League spot
Italian sources had claimed earlier in the week that the Giallorossi were lining up a move for the Uruguay international but Sabatini has quashed the speculation.
"There have not been any negotiations for Suarez," Sabatini told Radio Mana Mana.
"He is a very good player, even though he has had some problems lately, but these are just rumours."
The Giallorossi director then commented on the situation of Simon Kjaer, who has been linked with a return to Wolfsburg after failing to impress during his loan spell at the Stadio Olimpico.
"There is a common taste for underlining his errors now being demonstrated in Rome," Sabatini added.
"In the end we will get the sum by making our judgements."
Roma are sixth in the Serie A table, four points adrift of third-placed side Lazio, and Sabatini highlighted the importance of entering the Champions League next season.
"Qualifying for the Champions League would allow us to change our market strategies," he noted.
"It would be an important goal to achieve, and we are still alive in that particular race."