Brown, who famously posed nude for Cosmopolitan in 1982, is shown in the skit repeatedly stumbling into a meeting involving Senate Majority Leader Harry Reid, House Speaker Nancy Pelosi, Sens. Robert Byrd and Barbara Boxer, and Rep. Barney Frank.
His good looks and winks prompt the lawmakers to fantasize about the Republican senator, whose surprise special election victory cost Democrats their Senate supermajority.
In the skit, for example, Boxer is portrayed as imagining Brown as a shirtless doctor who says, "I'm against the public option but I can offer you a pubic option. Because I just found a lump – in my underpants."
Dressed as a construction worker, Brown asks Frank if he is worried about a filibuster – "cause I'm about to filibust out of these jean shorts."
The skit ends with a bit of a pointed criticism of Democrats, with Reid asking, "Now are we going to focus on running this country or are we going to waste our time thinking about Scott Brown?" The party leaders opt for the latter.
Brown told National Review Online that the skit was "pretty funny."
"I wish I could host SNL some day," he said. "I've been watching it since I was young. Jon Hamm is great." Brown did say Hamm, who attempted a Boston accent, "doesn't really sound like me, but it was very funny."
"Thank goodness I like a good laugh," added Brown.