Fred Hoiberg revealed a lot about his point guard position on Tuesday.

Specifically, it’s about to get a bit more crowded with Kris Dunn (left index finger) likely making his regular-season debut either Thursday or Saturday at the United Center, and that it will remain an open competition for the starting spot currently held by Jerian Grant.

Considering the cloud of controversy already hanging over this Bulls team thanks to Bobby Portis’ punch to Nikola Mirotic’s face last week, Dunn wasn’t about to add to that.

Asked if Thursday was the target date for his return, Dunn said, “I don’t want to give anybody a direct answer right now … just see how it feels.’’

Asked if he was coming after Grant’s starting spot, Dunn replied, “I’m not trying to come back and just go for the starting spot. I want to come back and try to feel comfortable, try to get my rhythm that I had going in the preseason, try to get confidence, try to help my team get wins.’’

Not that Dunn doesn’t want to start.

“Eventually, that’s the goal,’’ Dunn added.