Several fellow owners of N.F.L. teams have given Dallas Cowboys owner Jerry Jones a cease-and-desist warning, threatening to punish him over his efforts to block a contract extension for Commissioner Roger Goodell, according to several people with knowledge of the situation.

The warning to Jones, which was issued by the six owners on the N.F.L. compensation committee after the group held a conference call Monday, comes less than two weeks after he threatened to sue the league and the owners on the committee who have been working for months on a new contract for Goodell.

The league could take a range of steps, including fines, docking draft picks and even suspending Jones.

Jones’s maneuvers have escalated one of the worst fissures in decades in the normally clubby ownership group. Jones, who had been a nonvoting member of the committee, was immediately thrown out of the group after he threatened to sue the six other owners. Those owners and Jones have since communicated through lawyers.