The 10Y has been hovering around 2.8-2.9 forever, the rise in short term rates are already baked into the psychology of the long term markets so there is a good chance that long term rates will stay low for a while. Long term rates do not necessarily correspond to short term rates so just because the Fed is rising means squat for the 10Y or the 30Y.
What is more likely is that as we are headed to a recession in the next couple of years the yield curve will invert as the short term rates rise.