The next lawmaker to represent Texas’s 14th district in the U.S. House of Representatives isn’t ready quite yet to end the Federal Reserve–unlike the man he will succeed.

Republican Congressman-elect Randy Weber will take over the seat being vacated by Rep. Ron Paul (R., Texas) when the monetary-policy worrywart, frequent presidential candidate, and Internet sensation retires this year at the end of his 12th term in Congress.

But Mr. Weber, a two-term state representative and the owner of Weber’s Air & Heat air-conditioning company, may not immediately assume the mantle of foremost Fed critic on Capitol Hill.