Hollweg, who took a few stitches in the chin but was not seriously hurt, and two lawyers for the New York Rangers met with representatives from Nassau County District Attorney Kathleen Rice's office Thursday.
"They asked me if I wanted to, but I told them I didn't want to press charges," Hollweg told the Long Island, N.Y., newspaper Friday. "I'm not happy about what he did, but I want to focus on making the playoffs. I just want to move on."
Rice's spokesman, Eric Phillips, told Newsday a decision on whether to proceed would probably be made Monday.
The newspaper first made the story available on its website early Saturday.
Simon was suspended by the NHL for 25 games for his vicious hit in retaliation for a hard check by Hollweg in the Islanders' loss against the Rangers on March 8.
Simon must sit out the rest of the regular season and the entire post-season, if the club gets that far. Should the team play fewer than 10 playoff games, the suspension will carry over to next season.
The ban is the longest in terms of games missed in NHL history, and Simon's sixth suspension.