The 25-year-old said that he would "gladly" travel to England to touch gloves with the Sheffield fighter, who he believes has not done enough to earn a shot at Amir Khan.
"Kell Brook thinks he's more than what he is at this point," said Jones. "He's calling out Amir Khan but hasn't earned the right to do.
"Beating Matthew Hatton doesn't give him that luxury and we all saw what Saul Alvarez did to Hatton. Brook is decent but I've beaten better fighters and I'd gladly go to England to fight him."
Jones currently holds the USBA welterweight championship.