Coyle is undecided as to whether he will dip into the transfer market this winter after being promised funds by chairman Phil Gartside.
"I have to be fair to the squad and assess the players," said Coyle, who played for Bolton in the 1990s.
"I have always felt the January window can be an inflated market anyway.
"It is something we have to look at. Bolton have always backed their manager in that regard."
Coyle has encouraged his teams to play an expansive game and he knows that is what Bolton supporters want after the departure of previous boss Gary Megson.
However the former St Johnstone manager said: "I don't think you can change from one style to another overnight but we will look for gradual progression.
"I believe we have the players to keep us in the Premier League - and that has to be the priority.
"It will involve a lot of hard work. There is no magic wand where you sprinkle fairy dust and everything happens."