Lucic was scheduled to have a disciplinary hearing with the NHL Monday at 1 p.m. ET.
"It's obviously something I have to go through. I'll state my case and whatever happens, happens," Lucic said Monday. "It's out of my control and all I can do is tell my story about what happened."
Bruins coach Claude Julien said that it wasn't "our plan to run him over."
"For what it's worth, Looch has done the same thing to one of our coaches last year," he added. "He buries his head when he chases the puck and by the time he lifts it up, somebody's there. Last year it was a coach, this year it was Miller."
The Sabres revealed the nature of Miller's injury Sunday, while also announcing they had called up goalie Drew MacIntyre from their AHL affiliate in Rochester. MacIntyre is expected to serve as backup to Jhonas Enroth on Monday night at Montreal.
"Hopefully it is not severe and hopefully it is not long term," general manager Darcy Regier told the Buffalo News on Sunday night.
Miller came out of his crease to play the puck and take away a breakaway opportunity for Lucic in the first period.
Miller's mask flew off and he took a wild swipe from his seat at Lucic with his goalie stick just before two Sabres pounced on Lucic.
The Sabres star stopped 19 of 22 shots before being pulled after the second period.
Lucic was given a minor penalty for charging.
"I thought it was a major," Buffalo coach Lindy Ruff said Saturday. "I thought if it was open season on goalies then let's get at it."
Miller also had strong words for Lucic.
"(Lucic has) 50 pounds on me and he runs me like that? It's unbelievable," Miller said after Saturday's loss. "Everyone in this city sees him as a big tough solid player. I respected him for how hard he played. That was gutless."
Regier also told the Buffalo News that he felt the play deserved a suspension from the league.
"If this hit and other types of hits like this are not suspended, we are opening up the possibility of losing goaltenders to injury," Regier told the newspaper. "And not just injury, but concussion. ... When I look at the position of goaltending, in a lot of ways it's not unlike quarterback in football. I feel very strongly the protection has to be provided and players committing these types of action should be punished.
"The last thing we need to do in the NHL is to be losing our stars to concussions on plays like this."
Information from ESPN.com NHL writer Pierre LeBrun and The Associated Press was used in this report.