Summer signings Todibo, 24, aired his anger in the home changing room during half-time, resulting in a heated argument with his manager.
With no senior center-backs on the bench, Todibo stayed on and played the entire 90 minutes of the 5-2 loss, with West Ham failing to surrender in the second half.
Todibo was absent from Tuesday night’s defeat to Leicester City, but this was due to a longstanding groin issue experienced against Newcastle, not any disciplinary action.
Lopetegui has been embroiled in an incident with one of his players twice this season, having previously spat with Mohammed Kudus against Brentford after taking him off at half-time.
Todibo joined on loan from Nice in the summer, with a view to a £35 million transfer next summer.
Falling out with crucial players like the defense and Kudus would only erode Lopetegui’s position, which was already under intense scrutiny following Monday night’s 3-1 loss to Leicester.
Many in the club believe players are not receiving clear instructions on how to play, with a high line costing the Hammers dearly at the King Power.
West Ham’s board is meeting on Wednesday to decide Lopetegui’s fate, with a sizable majority calling for a change.
The East London club is presently 14th, six points above the relegation zone, but has made no significant progress since David Moyes was fired in the summer, despite spending around £130 million on new players.
At the King Power Stadium, frustrated fans chanted “You’re getting sacked in the morning” at the former Wolves boss.