The Scot, who has backed his player throughout the whole saga, told Sky Sports 2: "I never knew he never shook his hand.
"I don't know, I wasn't there, I never saw it. We haven't looked at the handshakes, but that's contrary to what I was told."
When told Suarez had refused to shake Evra's hand, he added: "We'll ask him and we'll take it from there."
When pressed further by tunnel interviewer Geoff Shreeves whether he would have to look seriously at the refusal to shake hands in light of the confrontations that followed at half-time and full-time, Dalglish said: "I think you're very severe and I think you're bang out of order to blame Luis Suarez for anything that happened here today [Saturday].
"I think predominantly both sets of fans behaved really well, they had a bit of banter between each other, no problem. How many bookings were there?"
Dalglish also admitted that Rooney's brace in the second half killed his side off.
"Obviously the goals coming as quick as they did made it very difficult for us to try and get anything from the game," he said.
"To the boys' credit they got back and got a goal, but I think overall you could say they (United) were the better side. But you would expect them to be at home."