The Scot on Thursday agreed a six-year deal to succeed Sir Alex Ferguson at Old Trafford. The 71-year-old United boss will retire at the end of the season.
Everton had prepared for the eventuality of Moyes leaving, with his contract due to expire in the summer, but were taken aback by the speed of events over the last 48 hours.
However, they are determined not to allow the issue to overshadow their final two matches of the season and the 1.30pm press conference is to preview the visit of West Ham.
In announcing details of their weekly press conference Everton said: "Please note Mr Moyes will not be answering any questions on the subject of Manchester United or his appointment as the club's new manager."