The Aston Villa assistant was approached by Chelsea boss Jose Mourinho before the final whistle of the Blues' 3-0 win at Stamford Bridge on the 27th of September with Keane refusing to shake his hand.
Dalglish felt it was a strange move from Mourinho to try and interact with the former Manchester United captain while the match was still in action and suggests he would do the same thing if it was him involved.
'First of all, if I was in that situation, I don't think I'd give a carrot what Mourinho tried to do.
'He has these things he does. They're not new. It wouldn't affect my life.
'But for what it's worth, I probably wouldn't have shaken his hand, either, if I had been in the same situation as the former United skipper.
'Mourinho is at the top of the tree at the moment. You can get away with a lot of things when you're in his position.
'But maybe he should remember the old adage about being nice to people on the way up because you might need them on the way down.
'If things go a little wrong for him at some point in his career, he may find there are those who are keen to pull the ladder away from under him as quickly as they can.'
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