Jake Livermore was on target as West Brom saw off Hull City, while there were wins for Preston North End and Leeds United.
Substitute Paul Gallagher converted a second-half penalty as Preston moved to the Championship summit with victory over Charlton on Sunday.
Hal Robson-Kanu looked like he had extended 10-man West Brom's lead in the Championship but Charlton stole a point.
The Championship's top two, West Brom and Leeds United, were held on Tuesday, while Sheffield Wednesday moved up to third.
West Brom stayed ahead of Leeds United at the top of the Championship, where plenty of the struggling sides picked up vital points.
Swansea City and Leeds United suffered defeats that meant West Brom and Nottingham Forest became the Championship's new top two.
Leeds United beat previous Championship pacesetters West Brom 1-0 at Elland Road to move top of the table.
Derby County beat Birmingham City 3-2 in the Championship - days after a team night out ended with police charges and an injured captain.
Bernardo Silva has been defended by Manchester City manager Pep Guardiola following a since-deleted tweet about Benjamin Mendy.
Eric Garcia and Taylor Harwood-Bellis helped Manchester City into the EFL Cup fourth round, much to Pep Guardiola's joy.