Jeff Hornacek has the support of the front office so long as the team shows improvement.

That was the underlying message Sunday from Knicks president Steve Mills, who, based on a rocky start to the season, was already diffusing speculation that the coach is on the hot seat.

“There was speculation not on our part but by the outside world,” Mills said. “This summer, when Jeff and I went to Jim Dolan with a plan of how we wanted to build this team — and how we wanted the team to come together — and we just want to see progress. We want to try to win as many games as we can. We want the guys to play hard every night. The three of us, we’re all on the same page as it relates to that. We just want to see the team move in a positive direction.”

Hornacek sits in the tenuous position of being hired by ousted president Phil Jackson. He didn’t help his standing with an 0-3 start that followed an 0-5 preseason, accompanied by grumblings from players that they didn’t know the playbook.

Friday’s blowout win over Nets became an encouraging respite from the losing, but the schedule is unforgiving with Cleveland on Sunday night followed by home games against Denver and Houston. An early controversy has been Hornacek’s handling of Willy Hernangomez, who was touted by the front office as a cornerstone piece but had been relegated to the bench.

There were some issues with Hernangomez’s work ethic in training camp, but Mills said he’s confident the Spaniard will return to the rotation.