The 21-year-old is on the verge of completing his transfer to the Premier League side after both clubs reportedly reached an agreement to transfer the player to Anfield in a deal worth around £7.8million.
"I liked Borini," Zeman said in Friday's press conference. "For me he is a good player and we hope to be able to replace him."
Roma only bought Borini outright last month after paying Serie A side Parma £3.95million for the remaining 50% of the player's rights.
The former Chelsea striker, who was a member of Italy's Euro 2012 squad, scored nine goals in 24 Serie A appearances for the Giallorossi last season.
Genoa forward Mattia Destro is the man most likely to replace Borini.
The 21-year-old, who has also been linked with a move to Inter Milan, played on loan at Siena last season and scored 13 goals in 30 appearances.
He is under contract with the Genoa until June 2015.
"Destro is a striker that I like," Zeman said. "He is a young talent."
The hoop soccer jersey is classic and cool. The USA hooped jersey is perfect for every fan. Get in the Gear.
Neymar's move from Santos to Barcelona is no doubt the biggest summer transfer.
The USA will wear their blue away jersey against Jamaica in their World Cup qualifier on Friday night.
England will debut their new away jersey against Brazil at the Maracana Stadium on Sunday. Get in the Gear
Germany is one of the top teams ever and they will play the US on Sunday.
Support the USA national team with an official 2013 Centennial soccer jersey from Nike. Its Official.
Jamaica is in need of a win against the U.S. Get the jersey of the Reggae Boyz.
Barcelona will wear this new home soccer jersey next season. They also have a new away jersey. Get them both.
The Nike Hypervenom is the latest cleat silo from Nike. It will change your game and is worn by the game's top players.
The adidas Nitrocharge is the most talked about new cleat in years. It was released on May 15 and will take your pitch by storm.