Robertson watched from the stand as the Tangerines secured a 1-0 victory in their pre-season friendly against Hibs after being left out as a precaution.
But McNamara has confessed he remains selfishly hopeful that Robertson - who only arrived from part-time football with Queen's Park 12 months ago - could still shun a move south of the border.
That is not expected to happen and McNamara has confessed it has been a fairy-tale rise for the 20-year-old left-back.
He said: "Andrew's going down to speak to them. The two clubs have agreed a fee, so we'll find out in the next couple of days whether it's either a yes or a no - hopefully it's a no.
"He couldn't be included today. He trained with us on Saturday and he was here to watch with John Souttar.
"We'll wait and see what happens. It's all down to Andrew and his family, the decision he makes. He's obviously got to speak about his personal terms, where he sees him playing and his future.
"From my point of view, the two clubs have agreed a fee, so it's just down the personal stuff now. Selfishly, I hope he decides to stay another year but sometimes these things are outwith your control."