The Croatian has been heavily linked with a move away from Ibrox this winter following a series of impressive performances in the SPL over the past 18 months.
Sam Allardyce confirmed at the weekend that West Ham had enquired about the availability of Jelavic, while QPR are also understood to be keeping tabs on his situation.
However, reports have also suggested that Liverpool are interested and the 26-year-old's father says there are several clubs in the running for his signature.
Philip Jelavic claims Liverpool are one of those clubs and believes his son could soon be heading to Anfield.
"We know about the interest of West Ham and QPR," Jelavic senior said in The Sun.
"But Nikica has five or six clubs that are interested, including that of the great Liverpool.
"As for West Ham and QPR, Nikica is more ambitious than that.
"It's most likely that he'll sign for Liverpool.
"But there are a few days until the end of the window, so we'll see."