The Newcastle boss will appear in front of a three-man independent regulatory commission and his punishment is likely to include a stadium ban.
Pardew has admitted the Football Association misconduct charge, which followed the extraordinary confrontation between the Magpies manager and Hull midfielder Meyler at the KC Stadium on 1 March.
Newcastle were 3-1 up at the time - and went on to win 4-1 - but the match will be remembered for Pardew butting Meyler on the touchline after the Republic of Ireland international chased the ball into the technical area.
In the hours immediately after the match, Pardew made a public apology for his behaviour, while he was fined £100,000 by his club and issued with a formal warning.
Pardew will make a personal statement on Tuesday in which he will point to his public apology and contrition, and the steps he will take to improve his behaviour.
One issue for the 52-year-old is that the commission can take into account his behaviour in the past two seasons.
He was given a two-match touchline ban and £20,000 fine in August 2012 for pushing an assistant referee.
And Pardew was also warned about his future conduct by the FA in January this year following an angry exchange when he was caught on camera swearing at Manchester City boss Manuel Pellegrini.
A stadium ban would mean he cannot attend the match all, and the prospect is believed to be very real.
Paul Ince was handed a five-match stadium ban in October when he was manager of Blackpool for a "violent push" on a match official.
Match referee Kevin Friend cautioned Meyler for his part in the incident and then sent Pardew to the stands, from where he watched the remainder of the game.