Republican leader Kevin McCarthy suffered a third rebuke for speaker before the House adjourned Tuesday evening.

Twenty Republicans voted against him -- an increase from the 19 defections in the first two rounds of balloting

McCarthy, who needed 218 votes, had failed to secure the speaker's gavel by the third round, earning 202 votes in the final tally

All 20 voted for Rep. Jim Jordan of Ohio, who himself voted for McCarthy

Rep. Byron Donalds of Florida, who had initially voted for McCarthy in the first two rounds, shifted his support to Jordan

Leaving the floor Tuesday, Jordan told CNN there is "no" chance he will become speaker, adding he wants to be House Judiciary Chairman

He said he would lobby his colleagues to back McCarthy once the chamber resumes Wednesday.