PITTSBURGH — The disclosure that Yoenis Cespedes’ contract is insured, without further information provided by the Mets, raises plenty of questions about how much, if any, financial relief the organization might actually receive.

A day after the Mets announced the All-Star outfielder would undergo season-ending surgery on both heels, the club on Thursday declined to provide further information on the insurance policy protecting his contract. The 32-year-old Cespedes is owed roughly another $70 million by the Mets through 2020.

Assistant general manager John Ricco on Wednesday acknowledged the contract was insured but would not provide a figure on what percentage was covered, nor would he say if the organization planned to reinvest any dollars recovered toward the 2019 payroll.

An industry source indicated Thursday there are possible legal reasons behind the Mets’ decision to keep information about the Cespedes insurance policy private.

Many insurance policies on players do not cover preexisting conditions, so it is unclear if the Mets are bracing for a potential battle against the insurer to recover money on Cespedes’ contract, given that the left fielder’s heel problems predate the four-year deal for $110 million he received in November 2016.

Cespedes will undergo staggered surgeries — the first of which is expected to occur in early August — to remove calcifications around the Achilles in each ankle. He will also have bone spurs removed from each heel.

The Mets have acknowledged they knew about Cespedes’ heel problems when he signed the new contract, but to what extent an old condition may have escalated and another arose could be the crux of any pre-existing condition argument.

But even if Cespedes’ preexisting condition is covered by insurance, the Mets may not recover any money for this season, as most policies do not kick in until a player is sidelined for either 60 or 90 days consecutively.

The Mets hold an insurance policy on David Wright’s contract that began paying off 60 days after he was placed on the disabled list in 2015 as he battled spinal stenosis.

Wright returned to the DL in June 2016 — he has remained there since — and the Mets have recovered 75 percent of the third baseman’s salary for almost two years.

In Cespedes’ case, the season will be close to its conclusion by the time 60 days have passed. During that stretch Cespedes will receive roughly $10 million in salary from the Mets.

The fact Cespedes last weekend was removed from the DL after a two-month stint and played one game against the Yankees may have cost the Mets several million dollars.

Cespedes is scheduled to receive $29 million next season, during which he is expected to miss at least the first two months. If Cespedes’ condition is covered and the Mets are recovering 75 percent from insurance, that would translate into $7.2 million for the franchise over two months — perhaps enough to add another proven bullpen arm or bat to the lineup for one season.

Craig Kimbrel and Andrew Miller — both high-ticket items — headline the free-agent relief market. The top free-agent bats include stars Bryce Harper, Manny Machado and Josh Donaldson. It’s unlikely any money recovered through insurance on Cespedes’ contract would be a difference-maker in deciding whether to pursue any member of this group.

But when team COO Jeff Wilpon spoke to reporters in January, he indicated the money recovered from Wright’s contract through insurance hadn’t been factored into the payroll budget, so it might be unrealistic to believe the Mets will take such a tactic with any dollars recovered from Cespedes’ contract.

“When you’re talking about $20 million [annually for Wright] and we’re still paying 25 percent, that is a big number,” Wilpon said at the time. “It’s in the budget that it is what it is and there is a new deductible period that will start and you only get 75 percent.

“It’s not just 75 percent as total — and then there’s costs against that. We had to pay for the policy, which is not cheap.”