My track background laid a good foundation for TT's. The ability to keep consistent power, and a moderately high cadence (in bigger gears) for an extended period of time can't be overemphasized. Luckily, I had those attributes from track before I started road racing, so TT's weren't a weakness. In fact, it's what I do best.
One way to improve your TT without doing TT specific work is to spend more time pulling in fast group rides (as long as they're cool with it).
Good luck!