Strama says he started getting calls this morning, congratulating him on heading to DC to take the hypothetical appointment.
"I have no idea how such a rumor got started," he said.
The timing is worth noting. It's the last day to file as a candidate for office, and because of the rumor, Strama says there are Republicans considering filing for his House District 50 seat.
The lawmaker says he has no interest in any appointment, with one exception: "If [President Obama] wants to offer me Secretary of State, I'm going," Strama joked. "I did get invited to attend the White House Christmas party last month, and that was pretty cool. But I have no interest in going to DC other than as a tourist."