Mourinho was involved in a war of words with the Chelsea boss during their Carabao Cup clash on Tuesday, which Spurs won on penalties.
Asked about the incident after the game, Mourinho revealed he told his former player Lampard to only get off his bench if his team was losing.
Lampard was pictured slumped in his chair when his side went down 3-0 to the Baggies.
"With Frank the most important thing is my feelings towards him rather than any words we exchanged," Mourinho told reporters.
"I owe him everything he gave me, he always gave me everything he had as a player and I never forget that. My feelings towards him will always be feelings of how much I owe him for how much of an incredible player, friend he was.
"The only thing I was telling him, just an opinion of an old coach to a young talented coach, which was when the players need us it is when they are losing, when they are winning we don't need to be the protagonists of the touchline, we need to be there when they are losing.
"In the last match when they were losing 3-0 I felt really sorry for him because he was sad and quiet in his chair. In terms of football I can't teach him anything, he knows football, it is just an opinion, stay on the touchline when your team is losing and stay calm when your team is winning."