The winger has made only three competitive appearances since joining in the summer and the manager has reiterated that he would consider allowing the player to move temporarily
The 21-year-old has found first-team opportunities hard to come by since completing his permanent move to United from Crystal Palace at the end of last season, with only three competitive appearances to his name.
Goal understands United is keen on Zaha joining Newcastle until the end of the season, and Moyes has reiterated that he would consider a temporary move for the England-21 international.
He told MUTV: "I did say to Wilf if I didn't feel he was getting enough games, I would consider [allowing him to leave on loan].
"Obviously if we've got injuries or other reasons, I wouldn't take it on board.
"But the truth is we haven't had anybody phoning up and wanting to do that at the moment.
"While it's like that, I am fine."
Zaha has made two substitute appearances in the Premier League this term, but is yet to start a top-flight fixture.