Alexander-Arnold's contract at Anfield runs out in the summer and he has been heavily linked with a move to Real Madrid but Robertson says the player is only focused on working his way back from an ankle injury amid all the speculation.
He said: "Trent's head is not great because he's injured.
"He hates being injured, none of us like being injured but it hurts Trent a little bit more. That's all he is focused on.
"It is impossible for me to say we have not seen all the noise and everyone commenting on it. But for us our focus is for him to get back fit and healthy. Once he does that, what will happen, will happen. No one knows that yet. People can talk and speculate but for us we want Trent back very soon."
Liverpool look well-placed to secure the Premier League title as they hold a 12-point advantage at the top of the table with only eight matches left but Robertson says the team still has lots of work to do if they are to secure the crown.
The Scotland international said: "You guys talk about the 12 points but we talk about the next three points.
"Every game becomes bigger for us. Every time we win three points, the gap becomes bigger for us.
"We have eight games left, every time we pick up three points, it brings us closer to where we want to be. But we are still a long way off that."