The Reds have struggled to score goals without the likes of Luis Suarez and Daniel Sturridge and the Italian has so far failed to make an impression in front of goal.
The 23-year-old forward has been used sparingly, starting just two games in the Premier League, making nine appearances overall, out of a possible 21.
"I've never regretted staying here," Borini tells The Liverpool Echo, about a rumoured move.
"Yes, I could have left, but I wanted to stay at Liverpool and I'm glad I did.
"To be honest, going back to last summer, I didn't expect to play as much as I have done so far.
"With Daniel Sturridge's injuries, I've played more than I expected. I think I've done OK.
"I probably should have scored a couple of goals from the few chances I've had, but I'm quite happy with my season so far.
"I won't be leaving this month either. I started the last game and I don't see any reason why I would need to change clubs. I see it as all positive for me."
Borini is keen on helping the club secure Champions League football for next season.
"The reason I said no to the clubs who wanted to sign me was that I wanted to play for a top-four club," he told The Echo.
"I wanted to play in the Champions League and in the biggest European competitions.
"I don't think you can blame any player for having that kind of ambition," he added.