“If there was human trafficking, these men would face more than misdemeanors,” he said. “Our view is that the state attorney’s job is to uphold the law, and we think he should be scrutinizing how the search warrant was obtained and traffic stop was done, and explain to us why we’re wrong” to object.

Mr. Burck said he is still in discussions with the state attorney about his offer, but declined to be more specific. Mr. Kraft and the other men can continue negotiating with prosecutors, who may make a counteroffer. Mr. Kraft is scheduled to be arraigned on Thursday.

On Wednesday, lawyers for Mr. Kraft and 14 other men filed a motion with the court in Palm Beach County to keep private all the evidence obtained by the police in the case. This includes hidden camera video of Mr. Kraft and the men inside the massage parlor over several days in late January.

In their filing, the lawyers said the evidence should remain confidential. The lawyers suggested that they do not believe that sex trafficking took place at the massage parlor.

Mr. Burck said the state attorney has not agreed to keep the evidence private.

“We don’t know why they wouldn’t want to protect the evidence in the case,” he said. “The images on the video would clearly be of a private nature” and the only reason to make them public would be if “the goal is to embarrass the person on the video.”

Legal experts who handle prostitution cases in Florida said most defendants ultimately accept the prosecutor’s offer because the cost of fighting their cases are not worth the trouble.

But Mr. Kraft may be more concerned that essentially pleading guilty to soliciting prostitution will harm his reputation as an N.F.L. owner, businessman and philanthropist. Mr. Kraft might also be penalized by the N.F.L.’s commissioner, Roger Goodell, who has broad authority to issue fines and suspensions for anyone who damages the league’s brand. The penalties, if any, could be based on the outcome of Mr. Kraft’s legal case in Florida.