The 22-year-old, who has attracted interest from both Manchester clubs and Liverpool is out of contract in the summer.
And the Daily Mail claim Moyes believes he will be able to lure the hit man to La Liga, admitting in February the striker was very much on his radar.
He told BBC Radio Five Live: "Danny Ings is someone who has done really well and someone who I think anyone would like to have.
GETTY
Danny Ings has scored nine league goals for Burnley this season
It would be great for them to come to Spain to try it
David Moyes
"The British market is a market I know obviously from where I have come from and I think there are players there who it would help them, it would help their profile and it would be great for them to come to Spain to try it."
However, Moyes is not the only one to have been impressed by Ings' exploits this season, with Gary Neville admitting he'll be in high demand.
Neville told Sky Sports: "I think his touch is fantastic.He maybe doesn't get the high quality stuff into him that he would probably want, and I would imagine lots of clubs are looking at him."
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