Gibson is a fringe player at Old Trafford, has not been part of Sir Alex Ferguson’s plans this campaign and has been forced to watch the action from the sidelines.
Mirror Football have reported that the Republic of Ireland international is set to sign for the Goodison Park club in a £2 million deal, with the signing expected to be announced on Friday.
Gibson is ready to put pen-to-paper on a four-year contract, reportedly worth £40,000 a week.
Meanwhile, Sky Sports have stated that United have rejected a transfer bid from Newcastle for youngster Ravel Morrison.
The young winger has starred for the youth teams and reserves at the Premier League champions, but due to his contract expiring in the summer has been linked with a move to another club.
The 18-year-old will be available on a free transfer come June, but Alan Pardew’s men are thought to want to steal a march on their rivals by paying a small transfer fee and securing the starlet’s signature immediately; United have rejected this proposal.
Morrison has stated that he is keen to find regular first-team football, and has been reluctant to put pen-to-paper on a new deal at United.
By Gareth McKnight