Not sure, I don't think you can check for certain. But he's only liked posts from around the same time as that Fulham linked post. So it wouldn't be unreasonable to suggest he liked within a few hours of it going out.
Was it liked before the info broke?
The tweet is certainly from before that, but given Boro fans have been obsessively following him, and have been Eagle eyed with details elsewhere, I expect the like is from the last few hours and has been noticed quickly.