Speaking to the EADT the Town boss said: "The owner has given me full support, but I don't know how secure Paul Ince and Danny Wilson felt this time last week.
"I don't know how secure I am. It is the nature of football management with so much emphasis put on immediate results.
"I can only keep doing what I am doing, and lifting my players to perform every game. Come what may, my time in charge of Ipswich will hold me in good stead."
The Town boss was reported to have held a meeting with several first team members prior to the East Anglian Derby against Norwich to tell them the club will be built around them which is said to have caused unrest with team-mates not invited in the Town dressing room.
Magilton hinted that there could be departures in January from the pool of players who were not invited: "The squad is too big at the moment, and this is being attended to. I want players here who have the same desires and feelings for this great club as I have."