Ninety Miami-Dade Police officers won’t receive layoff notices Monday, after all, as the police union and county administrators continue negotiating a new contract this week.

Earlier this month, Miami-Dade Mayor Carlos Gimenez insisted that if a cost-cutting collective bargaining deal was not reached, pink slips would go out to 90 officers on Monday, to be effective in early November. On Sunday, he backed down, at least for a few days.

“The layoff letters are not going out on October 17th,” a mayoral spokeswoman said in an e-mail to The Miami Herald. “Discussions will continue at the next bargaining session” on Tuesday.

The Miami-Dade Police Benevolent Association, which represents most officers in the department, and the county will resume negotiations Tuesday at a public session at County Hall. Scores of officers and police supporters are expected to attend.

Gimenez, seeking to slash $239 million from the county’s budget, has taken a tough stance as the county negotiates with several employee unions. The most visible contract dispute has been with the PBA, which has never seen layoffs in its history.

“I hope it means they’re changing their hard-line stance on these negotiations. It gives us a little sense of hope,” PBA President John Rivera said Sunday.

On Friday, Miami-Dade reached a tentative agreement with the firefighters’ union that did not call for layoffs but instead called for three no-pay furlough days and internal restructuring of the department.

On Friday night, the police union asked the county to hold off on issuing pink slips as a “show of good faith” as the two sides prepared for Tuesday’s public session, and because of progress made with the firefighters. The county agreed Saturday night.

A public bargaining session originally scheduled for last week was postponed, a sign that the two sides had resumed talks.

The county says it is seeking a cut totaling 21 percent in salary and benefits from police, which includes rolling back 10 percent in pay raises approved in recent years.

The union says the proposed cuts, for some officers, actually would total to more than 30 percent — a number the PBA that would drive away talented officers and recruits, endangering public safety.

The proposed layoffs would be in addition to the slashing of 214 vacant police positions. The department’s total staff, including civilians, is slated to fall to 4,121 employees from the current 4,373. Sworn officers account for about 2,900 employees.

If the layoffs go through, they would come from the ranks of the officers who have the least amount of time with the department.

To fill those vacant positions, the department would likely disband certain crime-prevention units and return those officers to road patrol. Some lieutenants and sergeants would also be demoted and returned to their previous positions to help fill the staffing losses.

Phil Veloso, one of the newer officers facing layoff, expressed relief Sunday at news that the cuts had been avoided, for now.

Veloso, 25, a former Hialeah officer and U.S. Army veteran who served in Iraq, joined Miami-Dade last year hoping to advance his career in a larger department. On Monday, he starts training to become a member of the Special Response Team, akin to SWAT, the heavily armed unit that handles dangerous hostage situations.

“If anything, it bought us some time. It’s good to know at least some progress being made,” Veloso said Sunday of the mayor’s decision not to issue layoffs. “I don’t want to leave this department for anything.”