"For us it reinforces the desire and the need for an independent arbitrator in these matters of personal conduct," Feely said. "But we understand Tom's position and I think the process will work itself out."
Berman said he's putting the final touches on his decision.
"It won't be today, but hopefully tomorrow or the day after," he said of a written ruling. Berman said a week ago that he hoped to rule by Friday, giving the Patriots enough time to prepare for their Sept. 10 season opener against the Pittsburgh Steelers.
When Berman rules, it will either uphold or eliminate Brady's suspension.
Berman had ordered Goodell and Brady to attend Monday's hearing. Both arrived 90 minutes early to participate in talks in the judge's robing room.
Berman has said a settlement would be "rational and logical" but also cited weaknesses in the way the NFL handled the controversy that was nicknamed "Deflategate." The judge has also suggested that the league's finding was too vague, that Brady was generally aware that game balls were being deflated.
At a court hearing this month, Berman told the NFL there was precedent for judges to toss out penalties issued by arbitrators.