The Israel international has made an less than sensational start to his career at Liverpool, following a £5.5million transfer from West Ham United in the summer.
Sven Goran Eriksson has recently revealed he is looking to add more creativity to his City side in the New Year, and rumours are abound that Benayoun fits his bill.
It is being mooted that the Swede will offer the Reds the same fee they forked out in a bid to land the former Racing Santander man, who could be tempted by regular first team football.
