The Strictly Come Dancing judge made the comments to Kate Walsh on last night's Live From Studio Five.
Dixon said: "He has been a bit mean to Sabrina... Well, he is either racist or he doesn't like women, one of the two."
"He was calling her, calling her thick - she is far from it. And he said she couldn't cook - she is a great cook! I thought, 'Why is he picking on her, what's he playing at?', but she will not take any crap from anyone."
Kate Walsh added: "I think he is old-fashioned."
At the weekend, Bugner apologised for his comments about Washington's cooking ability.
Live From Studio Five airs weeknights at 6:25pm on Five.