Spurs progressed to the quarter-finals of the competition, beating the Blues on penalties after a 1-1 draw in normal time.
Shortly after Timo Werner put Chelsea in front in the first half, Mourinho appeared aggrieved at his opposite number’s presence in his technical area as the two managers exchanged heated words.
Mourinho was heard shouting, ‘F*****g hell Frank, when you’re losing 3-0 you’re not standing up here,’ referencing Chelsea’s last Premier League game in which they were 3-0 down at half-time against West Brom.
When addressing his comments after the game, the Tottenham manager insisted he was only advising his former player about his touchline etiquette.
Mourinho said: ‘When they are winning we don’t need to be the protagonists of the touchline, we need to be there when they are losing.’
However, speaking ahead of Chelsea’s clash against Crystal Palace on Saturday, Lampard strongly disagreed with Mourinho’s claims.
‘I don’t think any remarks made on the touchline can be called advice,’ the English boss said. ‘They can probably be wrapped us as advice after a game when you’ve managed to get back in the game and win on penalties.
‘I don’t think the Jose incident was ever advice.
‘On the touchline, if you look like you are trying to be what might be perceived as arrogant or if you’re trying to portray a character, that can become not real or boring.
‘I certainly don’t do that, I just react as I see fit. I don’t think people should expect us to not get caught up in the excitement.’