First, if they are genuinely looking to sell then they aren't buying him.
To answer your question, yes. Despite the hype, their budget is limited and their debt huge. Unless they get him for 50 million they will be spunking most of their budget on one player.
They are looking to reduce their wage bill and yet Kane will be the top earner.
I am not knocking Kane, he is a proven goal scorer and he is everything they need, unfortunately for them, they need at least 4 other players in the summer to try and implement ten hags style if play.