"will likely have" is correct and usable in written English.
You can use it to describe a probable future event or situation, for example: "The new library will likely have a wide variety of books."
Those in DuPage County will likely have three choices of insurers, and those in Kane and Will counties will likely have two choices.
Yiannopoulos will likely have a sympathy gig within the week.
The new report will likely have continued questions.
His teammates will likely have to go on without him.
Cheaper drugs by themselves will likely have little immediate impact.
In Denver, he will likely have the opportunity.
Klinsmann will likely have to rethink Beasley's role.
By the end of 2013, it will likely have five or more.
Climate Energy customers will likely have to pay the new contractor - assuming you have the money.
If that person doesn't have insurance, they will likely have difficulty obtaining that care.
The case will likely have impact beyond Powder Ridge's snow-tubing area, lawyers said.
