Ipswich have lost their last three away games and have slipped to 13th in the Championship table, five points off the play-off places.
Magilton has asked Ipswich supporters to back the players in their next two consecutive home matches.
He added: "This is their football club and we're trying extremely hard to produce results and produce performances.
"Sunday's gone, we have tasted victory for the last three years in these games and we'll look at the performance and analyse it but I would urge them to do that at the end of the season and get behind the players."
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