Shaun Williams' penalty and Dean Bowditch's free-kick handed the Dons a richly-deserved win in their replay at stadium:mk to set up a fourth-round trip to QPR.
Blackpool made an official approach to MK Dons to speak to Robinson in the build-up to the game and he suggested he is prepared to listen to what the Tangerines have to say.
He said: "I was being ill all day, I was at the doctor's [in the morning], struggling to make it to the game and then I was sat at home and I see on the ticker `Karl Robinson linked with Blackpool'.
"At that stage I wasn't meant to sit in the dugout, I was meant to sit in a room to watch the game because the doctor told me to stay out the way of everybody. But I thought I can't do that now because it will look a little bit suspect.
"All I do know is the chairman has asked for a meeting with me and I'll know the truth then.
"I do believe something has happened but I don't know what it is - obviously I'll speak to the chairman then we'll see what happens from there really.
"I didn't want to know anything before the game because I think it's unfair to the football club.
"Whatever then happens I think it's then fair that my decision is made internally - that doesn't mean I'm staying or going but Blackpool need to know first. My daughter is saying don't go because she likes her school!
"I'll show them (Blackpool) the respect they deserve but that doesn't matter what the decision is, I'll be in work as normal [on Wednesday] and I'm sure you'll know in due course.