Republicans are poised to grab at least 246 seats in the House, and that would match the post-World War II high from the Truman administration.
Republicans currently hold a 234-201 advantage.
On Saturday, Republicans were on track to keep control of two Louisiana seats in runoff contests.
If the GOP prevails, as expected, then Republicans would have 246 seats to the Democrats' 188, with one race to be decided.
There's still an automatic recount in a Democratic-held district in the Tucson, Arizona-area. Rep. Ron Barber trails Republican challenger Martha McSally by fewer than 200 voters.
If McSally wins, Republicans would have 247 seats, the largest majority since 1929-31 when the GOP controlled 270 seats in President Herbert Hoover's administration.
Republicans will run the Senate, too.
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