Moyes is in town for Evertonâ€™s Down Under tour and was quick to praise his star midfielder who has been a revelation since joining the Toffees from Millwall in 2004.
"As a player he is very effective in both boxes. It is a reason why he is liked by lots of managers, lots of clubs. He has the ability to do that and arrive in the box."
And Moyes added that if the next Tim Cahill was to pop up somewhere in Australia, the Merseyside club will be glad to have him.
"We try to keep tabs on all the best young boys all over the place, whether in Australia or elsewhere. Obviously, Europe is our main shopping window but if there are any more Tim Cahills we will gladly have them,â€ť he added.