The Miami Dolphins are gunning for a higher pick than their No. 5 spot in the NFL Draft and have been actively trying to make it happen.

ESPN reported Thursday morning that the Dolphins called the Cincinnati Bengals “on more than one occasion” over the last couple of weeks to see if the No. 1 overall pick was available, ostensibly so they could take LSU quarterback Joe Burrow. The Bengals, according to the report, told the Dolphins, “in no uncertain terms, no.”

But the Dolphins have also reportedly been in discussions with the Detroit Lions, who hold the No. 3 overall pick and are said to be willing to trade down.

The Miami Herald reported that the Lions are somewhat confident they will be able to trade their pick to either the New York Giants or the Dolphins, either before the draft or while on the clock. Nothing is finalized, according to the report, but it may be Detroit’s attempt to ignite a bidding war between the two organizations.

NFL Network reported that the Dolphins were mulling over a potential trade up to obtain a tackle, but with ESPN’s report that Miami inquired about the first-overall pick, the organization might be prioritizing drafting a quarterback. Top quarterbacks like Oregon’s Justin Herbert and Alabama’s Tua Tagovailoa are widely expected to be taken early in the first round after Burrow goes to Cincinnati first overall.

With the Giants potentially taking a tackle with the No. 4 pick, the Dolphins leap-frogging them to No. 3 for a tackle could keep Big Blue from getting its top-rated lineman.

Should the Giants move up one spot, they could guarantee themselves the offensive tackle of their choice.