The currently leaderless House is deciding whether to elevate the combative right-wing politician to one of the most powerful posts in Washington after Kevin McCarthy was ousted by a small group of his fellow Republicans on 3 October.
Since then, party infighting has left the House unable to address concerns such as conflicts between Israel and Hamas and in Ukraine, as well as funding for the US government.
Mr Jordan, a founder of the hard-right House Freedom Caucus, won the Republican nomination for speaker last Friday.
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