The Australian international played under Moyes at Everton and is being linked with a move away from current club Melbourne City.
David Moyes discovered this weekend gone that the task he has been set at West Ham United is going to be far more difficult than he originally envisioned.
They were poor in a display against Watford which will undoubtedly leave him wondering what might need doing in January.
In the past the Scotsman has often brought in former players. He took several ex-Manchester United players to Sunderland with him - as well as some of his Everton old boys.
Tim Cahill of Everton celebrates with manager David Moyes.
In that case, West Ham might do well to make a move for Tim Cahill.
Obviously there are immediate reasons why West Ham fans will scoff at such a move. Firstly, the Australian veteran is 38-years-old next month. Then there is the seven years he spent at West Ham’s bitter rivals Millwall before David Moyes snapped him up in 2004.
However, the former Toffee, who now operates almost exclusively as a striker, is not yet past it. He recently saved his nation from elimination at the hands of Syria in the World Cup qualifiers - scoring both goals in a second leg win against the side to secure a playoff berth v Honduras.
Tim Cahill celebrates after scoring during the 2018 FIFA World Cup Asian Playoff match with Syria
He is still an absolute fiend when it comes to his aerial prowess, making him an excellent Andy Carroll replacement from the bench - or a devastating aerial partnership should West Ham be scrapping for a result.
Rumours are circulating that his future at current club Melbourne City could be under risk and West Ham might be able to offer him one last hurrah in England before the World Cup this summer.
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