The Professional Footballers' Association voting had already taken place when Suarez sunk his teeth into Chelsea defender Branislav Ivanovic last Sunday.
In a fast-track process, Suarez received his ban on Wednesday.
In Sunday's team of the year, Manchester United's David De Gea is in goal. The defenders are Pablo Zabaleta (Manchester City), Jan Vertonghen (Tottenham), Rio Ferdinand (Manchester United) and Leighton Baines (Everton).
In midfield are Chelsea duo Juan Mata and Eden Hazard, Manchester United's Michael Carrick and Tottenham's Gareth Bale.
Up front with Suarez is Manchester United's Robin van Persie.
For the main player of the year award, Bale is the leading contender.