Administration: Supreme Court shouldn't hear health law case just yet

The administration further argued that the expedited schedules for several appeals may land several reform law challenges in the Supreme Court by the October term. The 4th Circuit Court of Appeals, which would hear Virginia’s challenge and another from Liberty University, “is among the fastest court of appeals,” Katyal wrote.

To date, three federal judges have upheld the healthcare law, while two have struck it down. Citing widespread confusion as the result of conflicting decisions, some have called for an expedited legal review of the law.

The 11th Circuit Court of Appeals recently announced it will expedite a lawsuit from 26 states and the National Federation of Independent Business. A federal judge ruling in their favor struck down the entire law in January, but he recently said the law's implementation can proceed.

Opening briefs in the 11th Circuit are due by early May.