Jones was wearing a neck brace while he recovers from an injury that prematurely ended his 2010 season. He had neck surgery to fix that issue, and he told Cincinnati's WCPO-TV on Sunday that he recently had a second surgery on his neck, which raised questions about why he had the procedure.
According to The Enquirer, Jones' most recent surgery found that his neck is healing properly and he should be ready for the season, barring any setbacks. He likely would be limited during the preseason and perhaps early in the regular season.
Authorities said Jones tried to pull away from police after he was accused of shouting profanities in a Cincinnati bar.
Jones denied the allegations Sunday morning, telling WCPO that he hadn't been drinking and was out with his wife to celebrate her birthday.
Police said Jones needed to be escorted out of the bar after repeatedly being asked to calm down. Jones went outside but allegedly yelled profanities and gestured wildly, leading police to arrest him. Jones allegedly tried to escape his handcuffs, so two officers had to restrain him before taking him to Hamilton County Jail around 3 a.m.
Jones questioned how he could resist arrest in his physical condition.
"I just had surgery," Jones told the TV station. "So why would I be resisting arrest? It doesn't make sense for me to resist arrest.
"I was not yelling at the police. I did not yell profanity at the police."
A Bengals spokesman said the team had no comment on the most recent arrest. The team is prohibited from having contact with Jones because of the NFL lockout.
Meanwhile, a prosecutor in Las Vegas said Jones might face up to a year in jail in Nevada for violating a probation stay-out-of-trouble order after the arrest in Cincinnati.
Clark County District Attorney David Roger said that before he takes the case to a Nevada judge, he will review police accounts of Jones' arrest on resisting arrest and misdemeanor disorderly conduct charges at the Ohio bar.
Jones, 27, was sentenced to one year of probation in February for his role in a 2007 Las Vegas strip club melee that left three people shot.
"One of the conditions of his probation was that he stay out of trouble," Roger told The Associated Press. "We haven't seen the reports yet."
Jones' lawyer in Las Vegas, Robert Langford, told AP that based on his client's account of the arrest, charges in Ohio might have to be dropped. Langford declined to provide specifics.
The Associated Press contributed to this report.