The Daily Mail says Moyes made a personal check on Mbokani in Standard Liege's Europa Cup quarter-final defeat by Hamburg last Thursday after being alerted to his goalscoring prowess and apparent eagerness to quit Belgian football at the end of the season.
The 24-year old Congo striker responded to Everton's interest by saying: "I've a feeling English football would be made for me.
"I follow the game in Germany, and there is no doubt the Bundesliga would suit my style of play. But it just as clear I could do well in the Premier League.
"Strength and power play a big part in my game, and I am sure I would fit in well over there. If I do move to another club, it will be in England or Germany."