Despite Josh Duhamel's denials of The ENQUIRER's EXCLUSIVE expose of his steamy cheatin' hookup with a stripper last week, the missus Fergie doesn't believe him, say sources. 

According to the Chicago Sun-Times, a Black Eye Peas insider said the Transformers hunk and sultry thrush had ''a very intense and heated'' discussion about straying with the stripper.

''He's definitely IN the doghouse," the insider divulged.

'But Fergie's hanging in there - at least for the time being.

"She understands show business marriages are not like other people's. 

"She was fully aware of Josh's reputation as a ladies man when she hooked up with him.''

Stay tuned ... and check The ENQUIRER's bombshell expose BELOW: