The 65-year-old is now the clear favourite to take over at the Giallorossi after a meeting with general manager Franco Baldini to discuss his return to the Eternal City
The veteran Czech previously managed the capital side between 1997 and 1999 before making way for Fabio Capello.
His exploits in promoting Pescara to Serie A last season have not gone unnoticed, and the general manager has hinted that Zeman could be appointed as Luis Enrique's successor by the end of the week.
"In three or four days we will be announcing the coach," Sabatini told La Gazzetta dello Sport.
"We contacted several coaches and talked to [Marcelo] Bielsa. But the chances of Zeman arriving are large.
"Zemen would represent a sign of continuity; his footballing philosophy is like that of Luis Enrique."
Sabatini went on to suggest that Catania trainer Vincenzo Montella is further down the list of targets.
"Montella was not the first candidate, but still an excellent one."
Meanwhile, Zeman admitted talking to Baldini about a potential return to the Italian capital, but insisted that no final decision has yet been made.
"It's true, I met Franco Baldini and we talked about many things," Zeman revealed.
"In the next few days we'll hear from them again. When? That depends on Roma."