The Nationals have extended House an invitation to big-league camp during spring training, Spencer Nusbaum of The Washington Post reports.
House could take over as the Nationals' starting third baseman before the end of the season, Mark Zuckerman of MASN Sports reports.
The Nationals promoted House from Double-A Harrisburg to Triple-A Rochester on Sunday.
House has five homers in his last 11 games at Double-A Harrisburg and is slashing .268/.364/.500 in 30 games this season.
House was promoted to Double-A Harrisburg on Tuesday, Jesse Dougherty of The Washington Post reports.
House went 2-for-5 with a double and a run scored Saturday in his first game for High-A Wilmington.
House is batting .333 (6-for-18) through six games with Single-A Fredericksburg with a double, a triple, two home runs, a stolen base and a 6:4 BB:K.
House will move from shortstop to third base this season, Andrew Golden of The Washington Post reports.