Anderson is set to have a medical at Serie A club Fiorentina ahead of a loan move to the Italian side during the January transfer window.
The 25-year old Manchester United midfielder has made only three starts this season for United.
He arrived from Porto in 2007 and has made 104 Barclays Premier League appearances.
United manager David Moyes said:
“It’s a good opportunity for him. He’s going to a good club in a good league so, hopefully, it will benefit him.”