Magnus Wolff Eikrem admits he will soon have to weigh up his options if he fails to secure regular game time at Cardiff.
Marseille goalkeeper Steve Mandanda has ruled out the prospect of him leaving for pastures new in January.
Borini, who joined Liverpool last summer, has endured a frustrating first season at Anfield with a series of injuries restricting his first-team chances.
The forward's agent, Marco de Marchi, insists he has not had any contact with Fiorentina and that Borini remains committed to Liverpool.
"I've heard the Fiorentina rumours, but there has been no direct contact," said De Marchi.
"Fiorentina are a club on the launch pad, they have laid the groundwork for an important project by signing great players and results will soon arrive.
"However, Borini has bought into the Liverpool project and they are one of the most important clubs in the world and he wants to be back by the end of the season to play in the European Under 21 Championship with Italy."