Same job, new management: Are employees covered by the FMLA?

Q. What is the policy on FMLA for workers who are employed by a county facility that puts their contracts out for bids? Let’s say the workers are employed by the first successful bidder for, say, three years and then the contract is re-bid. Another company wins the bid, takes over the job and keeps the same employees. Do their hours worked carry over even though it is a different employer? I could not find a reference to this problem in the FMLA guidelines.