The Venezuelan winger has been told by Barcelona that he can leave the club in January.
Celtic have also been linked with Brazilian defender Sylvinho and signed Marc Crosas from the Camp Nou in the summer.
“I have some chances to play for Celtic and it would be an excellent destination,” he told skysports.com.
“I have spoken with Marc [Crosas] and he told me that there is an excellent atmosphere at the club in all aspects.”
Suarez’s agent is his father and he added: “We have spoken with Barca and [Pep] Guardiola and they accept he can leave.
“We expect more to happen in the next few weeks.”