The 24-year-old has been linked with a move to Liverpool, but Rush doesn't envisage a move in the winter market due to Leeds' current predicament in the table.
He told gambling.com: “Things haven't quite gone to plan for Leeds so far this season and if they're not careful they could find themselves in a real relegation dogfight.
“As such, you'd imagine Marcelo Bielsa will be determined to hold on to all of his best players to get them out of trouble.
“I don't think Leeds are in a position whereby they have to sell, I think it would be more in their interests to retain their top players and Raphinha certainly falls into that category.
“I'm sure it's not just Liverpool who are interested but I just don't see Leeds selling no matter who comes in for him.
“It's going to be very tight at the bottom and players like him can make a real difference, so I expect Leeds to brush aside any interest in January."