Mourinho has had a series of run-ins with the Arsenal boss over the years and reignited the tension on Friday, labelling Wenger a "specialist in failure" - referring to the Gunners' eight-and-a-half-year run without silverware.
|20/1||Chelsea are 20/1 with William Hill to win the Prem Lge & Champs Lge|
Yet Mourinho refused to quell the storm, telling ITV prior to Chelsea's 2-0 loss at Manchester City: "When he says that I am afraid of failure he is not respecting my past and because he does not respect this I do not respect his past.
"That’s my answer. It’s an answer that doesn’t make me happy, but an answer that I think he deserves."
The Blues were defeated convincingly by Manchester City on Saturday evening, as goals from Stevan Jovetic and Samir Nasri dumped Mourinho's team out of the FA Cup.
Arsenal, meanwhile, are still chasing that elusive piece of silverware and host Liverpool in the fifth round of the FA Cup on Sunday.